Vladimir V. Sokolov
Former staff member (till 2023) Leading researcher Doctor of science Professor
Email: |
Publications
- I.A. Bobrova, V.V. Sokolov, On classification of non-abelian Painlevé type systems, Journal of Geometry and Physics, 191, 104885 (2023); arXiv:2303.10347, WoS: 001040931800001, ADS: 2023JGP...19104885B, MathSciNet: 4605410, zbMath: 07725258.
- I. Bobrova, V. Sokolov, Classification of Hamiltonian non-abelian Painlevé type systems, Journal of Nonlinear Mathematical Physics, 30(2), 646–662 (2023); arXiv:2209.00258, WoS: 000903308200001, Scopus: +, ADS: 2023JNMP...30..646B, MathSciNet: 4604961, zbMath: 1519.37072.
- D.I. Gurevich, P.A. Saponov, V.V. Sokolov, O simmetrizatorakh v kvantovykh matrichnykh algebrakh, Usp. mat. nauk, 78:4(472) (2023) [D.I. Gurevich, P.A. Saponov, V.V. Sokolov, On symmetrizers in quantum matrix algebras, Russ. Math. Surv., 78(4), 785-787 (2023)]; arXiv:2303.10749, WoS: 001146060800005, Scopus: 2-s2.0-85185977683, ADS: 2023RuMaS..78..785G, MathSciNet: 4687811.
- I. Bobrova, V. Sokolov, Non-abelian Painlevé systems with generalized Okamoto integral, Contemporary Mathematics, 789, 15-34 (2023) [The Diverse World of PDEs Algebraic and Cohomological Aspects: Alexandre Vinogradov Memorial Conference Diffieties, Cohomological Physics, and Other Animals December 13–17, 2021 Independent Unversity of Moscow and Moscow State University]; arXiv:2206.10580, ADS: 2022arXiv220610580B, MathSciNet: 4636033, zbMath: 07738956.
- I.A. Bobrova, V.V. Sokolov, On matrix Painlevé-4 equations, Nonlinearity, 35(12), 6528-6556 (2022); arXiv:2110.12159, Scopus: 2-s2.0-85143082567, ADS: 2022Nonli..35.6528B, MathSciNet: 4512746, zbMath: 07629725.
- I.P. Shestakov, V.V. Sokolov, Multi-component generalizations of mKdV equation and nonassociative algebraic structures, J. Algebra and Its Applications, 20(04), 2150050 (2021); arXiv:1905.01016, WoS: 000645564100018, Scopus: 2-s2.0-85105243585, ADS: 2019arXiv190501016S, RINTs: 46040571, MathSciNet: 4251730, zbMath: 1468.17040.
- A. Odesskii, V. Sokolov, Noncommutative elliptic Poisson structures on projective spaces, J. Geometry & Physics, 169, 104330 (2021), WoS: 000697339000003, Scopus: 2-s2.0-85111021916, ADS: 2021JGP...16904330O, RINTs: 46972184, MathSciNet: 4293041, zbMath: 07396039.
- V.E. Adler, V.V. Sokolov, Non-Abelian evolution systems with conservation laws, Mathematical Physics Analysis and Geometry, 24(1), art. 7 (2021); arXiv:2008.09174, WoS: 000628211900001, Scopus: 2-s2.0-85102564538, ADS: 2021MPAG...24....7A, RINTs: 46767461, MathSciNet: 4228656, zbMath: 1467.37059.
- V.E. Adler, V.V. Sokolov, O matrichnykh uravneniyakh Penleve PII, TMF, 207(2), 188-201 (2021) [V.E. Adler, V.V. Sokolov, Matrix Painlevé II equations, Theoret. Math. Phys., 207(2), 560-571 (2021)]; arXiv:2012.05639, WoS: 000664263000002, ADS: 2021TMP...207..560A , MathSciNet: 4250540, zbMath: 1471.34168.
- V.V. Sokolov, Neabelevo obobshchenie volchka Eilera na so3, UMN, 76:1(457), 195-196 (2021) [V.V. Sokolov, Nonabelian so3 Euler top, Russ. Math. Surv. 76(1), 183-185 (2021)]; arXiv:2101.00934, WoS: 000701437400001, Scopus: 2-s2.0-85105936142, ADS: 2021RuMaS..76..183S, RINTs: 46075431, MathSciNet: 4223940.
- V.V. Sokolov, Algebraicheskie struktury v teorii integriruemykh sistem. — Izd. 2-e, pererab. i dop., M.–Izhevsk : "Institut komp’yuternykh issledovanii", 2021, 388 str. ISBN 978-5-4344-0897-4, RINTs: 49298867.
- I. Bobrova, V. Sokolov, On matrix Painlevé-4 equations. Part 2: Isomonodromic Lax pairs, arXiv:2110.12159, ADS: 2021arXiv211012159B.
- I. Bobrova, V. Sokolov, On matrix Painlevé-4 equations. Part 1: Painlevé–Kovalevskaya test, arXiv:2107.11680, ADS: 2021arXiv210711680B.
- A. Meshkov, V. Sokolov, Classification of integrable vector equations of geometric type, J. Geometry and Physics 149, 103581 (2020); arXiv:1904.09351, WoS: 000514017100014, Scopus: 2-s2.0-85077663752, ADS: 2020JGP...14903581M, RINTs: 43240477, MathSciNet: 4051920, zbMath: 1439.37068.
- V. Sokolov, T. Wolf, Non-commutative generalization of integrable quadratic ODE systems, Lett. Math. Phys., 110(3), 533-553 (2020); arXiv:1807.05583, WoS: 000491923400001, Scopus: 2-s2.0-85074530223, ADS: 2019LMaPh.110..533S, RINTs: 41699162, MathSciNet: 4058445, zbMath: 1437.37069.
- V.V. Sokolov, Integriruemye evolyutsionnye sistemy geometricheskogo tipa, TMF, 202(3), 492-501 (2020) [V.V. Sokolov, Integrable evolution systems of geometric type, Theor. Math. Phys., 202(3), 428-436 (2020)], WoS: 000524228200014, Scopus: 2-s2.0-85083057835, ADS: 2020TMP...202..428S, RINTs: 42645320, MathSciNet: 4070097, zbMath: 1450.37062.
- V. Sokolov, Algebraic Structures in Integrability, World Scientific, Singapore, 2020. xviii,326 pp. ISBN 978-981-121-964-1 (hardcover); ISBN 978-981-121-966-5 (ebook), MathSciNet: 4265175, zbMath: 07206705.
- V.V. Sokolov, Algebraicheskie struktury v teorii integriruemykh sistem, M.-Izhevsk : Institut komp’yuternykh issledovanii, 2019. - 367 s. ISBN 978-5-4344-0846-2, RINTs: -.
- R. Hernández Heredero, V. Sokolov, The symmetry approach to integrability: recent advances, Nonlinear Systems and Their Remarkable Mathematical Structures: Vol. 2, p. 119-157. Ed. by N.Euler, M.C. Nucci. CRC Press, 2019, 526 pp. ISBN 9780367208479; arXiv:1904.01953, ADS: 2019arXiv190401953H.
- A. Odesskii, V. Sokolov, Nonabelian elliptic Poisson structures on projective spaces, arXiv:1911.03320, ADS: 2019arXiv191103320O.
- V.V. Sokolov, Elliptic Calogero-Moser Hamiltonians and compatible Poisson brackets, Springer Proceedings in Mathematics & Statistics, Vol. 273, 38-46 (2018) [V.M. Buchstaber et al. (eds.), «Recent developments in Integrable Systems and related topics of Mathematical Physics», Kezenoi-Am, Russia, 2016. Springer, ISBN 978-3-030-04807-5], WoS: 38642808, Scopus: 2-s2.0-85059672873, RINTs: 38642808, MathSciNet: -, zbMath: 1423.37054.
- I.P. Shestakov, V.V. Sokolov, Triple Jordan systems and integrable models of mKdV-type, arXiv:1804.06396, ADS: 2018arXiv180406396S.
- V. Sokolov, T. Wolf, Integrable non-abelization of the flow on an elliptic curve, arXiv:1809.03030, ADS: 2018arXiv180903030S.
- Vladimir Sokolov, Algebraic structures related to integrable differential equations, Ensaios Matematocos, Sociedade Brasileira de Matematica, Vol. 31, 1-108 (2017); arXiv:1711.10613, WoS: -, Scopus: -, ADS: 2017arXiv171110613S, RINTs: -, MathSciNet: 3752628, zbMath: 1394.37003.
- A.G. Meshkov, V.V. Sokolov, On third order integrable vector Hamiltonian equations, J. Geom. Phys., 113, 206-214 (2017), WoS: 000394078200017, Scopus: 2-s2.0-85008599127, ADS: 2017JGP...113..206M, RINTs: 29471037, MathSciNet: 3603766, zbMath: 1418.37112.
- V.V. Sokolov, A.S. Sorin, Integrable cosmological potentials, Lett. Math. Phys., 107(9), 1741-1768 (2017); arXiv:1608.08511, WoS: 000408007900007, Scopus: 2-s2.0-85019048669, ADS: 2017LMaPh.107.1741S, InSpire: 1484499, RINTs: 31018002, MathSciNet: 3687262, zbMath: 1379.37107.
- M.G. Matushko, V.V. Sokolov, Polinomial’nye formy dlya kvantovykh ellipticheskikh gamil’tonianov Kalodzhero–Mozera, TMF, 191(1), 14-24 (2017) [M.G. Matushko, V.V. Sokolov, Polynomial forms for quantum elliptic Calogero–Moser Hamiltonians, Theor. Math. Phys., 191(1), 480-490 (2017)], WoS: 000400773000002, Scopus: 2-s2.0-85018786052, ADS: 2017TMP...191..480M, RINTs: 28931471, MathSciNet: 3631855, zbMath: 1369.81128.
- V. Sokolov, Symmetry approach to integrability and non-associative algebraic structures, arXiv:1711.10624, ADS: 2017arXiv171110624S.
- V.V. Sokolov, A.B. Shabat, O ratsional’nykh resheniyakh uravneniya Rikkati, Uspekhi matem. nauk, 71:4(430), 189-190 (2016) [V.V. Sokolov, A.B. Shabat, Rational solutions of a Riccati equation, Russ. Math. Surveys, 71(4), 787-789 (2016)], WoS: 000391301300006, Scopus: 2-s2.0-84997173251, ADS: 2016RuMaS..71..787S, RINTs: 26604186, MathSciNet: 3588926, zbMath: 1354.34010.
- A.G. Meshkov, V.V. Sokolov, Classification the third order vectorial hamiltonian equations, Sovremennye problemy fiziko-matematicheskikh nauk. Materialy II mezhdunarodnoi nauchno-prakticheskoi konferentsii, Orel, 24–27 noyabrya 2016, c.45-49 (2016), RINTs: 28189597.
- V.V. Sokolov, A.V. Turbiner, Quasi-exact-solvability of the A2/G2 elliptic model: algebraic form, sl(3)/g(2) hidden algebra, polynomial eigenfunctions, J. Phys. A: Math. Theor. 48, 155201 (2015); arXiv:1409.7439, WoS: 000352113800002, Scopus: 2-s2.0-84925811124, ADS: 2015JPhA...48o5201S, InSpire: 1319198, RINTs: 24020190, MathSciNet: 3335707, zbMath: 1329.81434.
- A.M. Kamchatnov, V.V. Sokolov, Nonlinear waves in two-component Bose-Einstein condensates: Manakov system and Kowalevski equations, Phys. Rev. A 91, 043621 (2015); arXiv:1501.01229, WoS: 000352845900006, Scopus: 2-s2.0-84929497573, ADS: 2015PhRvA..91d3621K, RINTs: 24033154.
- A.G. Meshkov, V.V. Sokolov, Integrable Hamiltonian equations of fifth order with the Hamiltonian operator Dx, Russ. J. Math. Phys., 22(2), 201-214 (2015); arXiv:1406.5916, WoS: 000357595000007, Scopus: 2-s2.0-84937219541, ADS: 2015RJMP...22..201M, RINTs: 23991225, MathSciNet: 3367183, zbMath: 1318.37020.
- V.V. Sokolov, Algebraicheskie kvantovye gamil’toniany na ploskosti, TMF, 184(1), 57-70 (2015) [V.V. Sokolov, Algebraic quantum Hamiltonians on the plane, Theor. Math. Phys., 184(1), 940-952 (2015)]; arXiv:1503.05185, WoS: 000360193700003, Scopus: 2-s2.0-84940201846, ADS: 2015TMP...184..940S, RINTs: 24073849, MathSciNet: 3399664, zbMath: 1325.81086.
- A. Odesskii, V. Rubtsov, V. Sokolov, Parameter-dependent associative Yang-Baxter equations and Poisson brackets, Int. J. Geom. Methods Mod. Phys. 11(9), 1460036 (2014) [18 pages]; arXiv:1311.4321, WoS: 000344230400013, Scopus: 2-s2.0-84908628170, ADS: 2014IJGMM..1160036O, RINTs: 23998016, MathSciNet: 3270299, zbMath: 1314.16024.
- A.G. Meshkov, V.V. Sokolov, Integrable evolution Hamiltonian equations of the third order with the Hamiltonian operator Dx, J. Geom. Phys., 85, 245-251 (2014); arXiv:1401.6844, WoS: 000342540500021, Scopus: 2-s2.0-84900943349, ADS: 2014JGP....85..245M, RINTs: 26930772, MathSciNet: 3253563, zbMath: 1297.37029.
- A. Meshkov, V. Sokolov, Vector hyperbolic equations on quadrics possessing integrable third-order symmetries, Lett. Math. Phys., 104(3), 341-360 (2014); arXiv:1211.0681, WoS: 000331644500005, Scopus: 2-s2.0-84893951279, ADS: 2014LMaPh.104..341M, RINTs: 21865255, MathSciNet: 3164613, zbMath: 1317.37074.
- A.V. Odesskii, V.V. Sokolov, Non-homogeneous systems of hydrodynamic type possessing Lax representations, Commun. Math. Phys., 324(1), 47-62 (2013); arXiv:1206.5230, WoS: 000325626900002, Scopus: 2-s2.0-84885579087, ADS: 2013CMaPh.324...47O, RINTs: 21881134, MathSciNet: 3116315, zbMath: 1282.37036.
- V.V. Sokolov, Klassifikatsiya postoyannykh reshenii assotsiativnogo uravneniya Yanga–Bakstera na algebre Mat3, TMF, 176(3), 385-392 (2013) [V.V. Sokolov, Classification of constant solutions of the associative Yang-Baxter equation on Mat3, Theor. Math. Phys., 176(3), 1156-1162 (2013)]; arXiv:1212.6421, WoS: 000325707900004, Scopus: 2-s2.0-84885574569, ADS: 2013TMP...176.1156S, RINTs: 20732656, MathSciNet: 3230739, zbMath: 1291.16028.
- A. Odesskii, V. Rubtsov, V. Sokolov, Double Poisson brackets on free associative algebras, Contemp. Math., 592, 225-239 (2013) [Noncommutative Birational Geometry, Representations and Combinatorics, Ed. by A. and V. Retakh, AMS, 2013. ISBNs: 978-0-8218-8980-0 (print); 978-1-4704-0971-5 (online)]; arXiv:1208.2935, WoS: 000320089500010, MathSciNet: 3087947, zbMath: 1321.17014.
- A.V. Odesskii, V.N. Rubtsov, V.V. Sokolov, Bigamil’tonovy ODU s matrichnymi peremennymi, TMF, 171(1), 26-32 (2012) [A. Odesskii, V. Rubtsov, V. Sokolov, Bi-Hamiltonian ordinary differential equations with matrix variables, Theor. Math. Phys., 171(1), 442-447 (2012)]; arXiv:1105.1740, WoS: 000303876200003, Scopus: 2-s2.0-84860628977, ADS: 2012TMP...171..442O , RINTs: 20732444, MathSciNet: 3168858, zbMath: 1274.70023.
- A.G. Meshkov, V.V. Sokolov, Integriruemye evolyutsionnye uravneniya s postoyannoi separantoi, Ufimsk. matem. zhurn., 4(3), 104-154 (2012) [A.G. Meshkov, V.V. Sokolov, Integrable evolution equations with the constant separant, Ufa Math. J., 4(3), 104-153 (2012)]; arXiv:1302.6010, WoS: -, Scopus: -, ADS: 2013arXiv1302.6010M, RINTs: 18877680, zbMath: 1299.35159.
- M. Dunajski, V. Sokolov, On the 7th order ODE with submaximal symmetry, J. Geom. Phys., 61(8), 1258-1262 (2011); arXiv:1002.1620, WoS: 000291901200002, Scopus: 2-s2.0-79952722963, ADS: 2011JGP....61.1258D, RINTs: 16999010, MathSciNet: 2802470, zbMath: 1219.53073.
- A.G. Meshkov, V.V. Sokolov, Giperbolicheskie uravneniya s simmetriyami tret’ego poryadka, TMF, 166(1), 51-67 (2011) [A.G. Meshkov, V.V. Sokolov, Hyperbolic equations with third-order symmetries, Theor. Math. Phys., 166(1), 43-57 (2011)], WoS: 000287245500004, Scopus: 2-s2.0-79951482832, ADS: 2011TMP...166...43M, RINTs: 20732259, MathSciNet: 3165778, zbMath: 1274.35223.
- A. Odesskii, V. Sokolov, Classification of integrable hydrodynamic chains, J. Phys. A: Math. Theor. 43, 434027, 15 p. (2010); arXiv:1001.0020, WoS: 000283300100028, Scopus: 2-s2.0-78649662354, ADS: 2010JPhA...43Q4027O, RINTs: 16917222, MathSciNet: 2727801, zbMath: 1220.37056.
- V.G. Marikhin, V.V. Sokolov, Transformation of a pair of commuting Hamiltonians quadratic in momenta to a canonical form and on a partial real separation of variables for the Clebsch top, Regul. Chaotic Dyn., 15 (6), 652-658 (2010), WoS: 000286401400004, Scopus: 2-s2.0-78650414402, ADS: 2010RCD....15..652M, RINTs: 16980981, MathSciNet: 2747175, zbMath: 1209.37105.
- A. Odesskii, V. Sokolov, Integrable pseudopotentials related to generalized hypergeometric functions, Selecta Math. New Ser., 16(1), 145-172 (2010); arXiv:0803.0086, WoS: 000276068500003, Scopus: 2-s2.0-77950020760, ADS: 2008arXiv0803.0086O, RINTs: 5335739, MathSciNet: 2609646, zbMath: 1274.37040.
- A.V. Odesskii, V.V. Sokolov, Integriruemye (2+1)-mernye sistemy gidrodinamicheskogo tipa, TMF, 163(2), 179–221 (2010) [A.V. Odesskii, V.V. Sokolov, Integrable (2+1)-dimensional systems of hydrodynamic type, Theor. Math. Phys., 163(2), 549-586 (2010)]; arXiv:1009.2778, WoS: 000278584200001, Scopus: 2-s2.0-77953508429, ADS: 2010TMP...163..549O, RINTs: 15334421, MathSciNet: -, zbMath: 1303.37024.
- V.G. Marikhin, V.V. Sokolov, O nekotorykh integral’nykh uravneniyakh, svyazannykh so sluchainymi gaussovskimi protsessami, TMF, 164(2), 196–206 (2010) [V.G. Marikhin, V.V. Sokolov, Some integral equations related to random Gaussian processes, Theor. Math. Phys., 164(2), 992–1001 (2010)], WoS: 000282705000002, Scopus: 2-s2.0-77956439368, ADS: 2010TMP...164..992M, RINTs: 20732198, MathSciNet: -, zbMath: 1300.60050.
- E.V. Ferapontov, A. Moro, V.V. Sokolov, Hamiltonian systems of hydrodynamic type in 2+1 dimensions, Commun. Math. Phys., 285(1), 31-65 (2009); arXiv:0710.2012, WoS: 000260836400002, Scopus: 2-s2.0-55949083379, ADS: 2009CMaPh.285...31F, RINTs: 13612431, MathSciNet: 2453590, zbMath: 1228.37041.
- A.V. Odesskii, V.V. Sokolov, Integriruemye ellipticheskie psevdopotentsialy, TMF, 161(1), 21-36 (2009) [A.V. Odesskii, V.V. Sokolov, Integrable elliptic pseudopotentials, Theoretical & Mathematical Physics, 161(1), 1340-1352 (2009)]; arXiv:0810.3879, WoS: 000271645400002, Scopus: -?, ADS: 2009TMP...161.1340O, RINTs: 20732086, MathSciNet: 2664881, zbMath: 1180.37096.
- A.V. Mikhailov, V.V. Sokolov, Symmetries of differential equations and the problem of Integrability, Lect. Notes Phys., 767, 19-88 (2009) [Integrability, ed A.V. Mikhailov, Springer, xiii, 339 pp., ISBN 978-3-540-88110-0], WoS: 000266821500002, Scopus: 2-s2.0-56349153295, ADS: 2009LNP...767...19M, MathSciNet: 2867546, zbMath: 1161.35052.
- A.V. Odesskii, V.V. Sokolov, Systems of Gibbons-Tsarev type and integrable 3-dimensional models, arXiv:0906.3509, ADS: 2009arXiv0906.3509O.
- A.G. Meshkov, V.V. Sokolov, Integrable hyperbolic equations of sin-Gordon type, arXiv:0912.5092, ADS: 2009arXiv0912.5092M.
- A. Odesskii, V. Sokolov, Pairs of compatible associative algebras, classical Yang-Baxter equation and quiver representations, Commun. Math. Phys., 278 (1), 83-99 (2008); math/0611200, WoS: 000252191200003, Scopus: 2-s2.0-38049058447, ADS: 2008CMaPh.278...83O, RINTs: 13582273, MathSciNet: 2431852.
- D.K. Demskoi, V.V. Sokolov, On recursion operators for elliptic models, Nonlinearity, 21 (6), 1253-1264 (2008); nlin/0607071, WoS: 000256053000008, Scopus: 2-s2.0-44949092496, ADS: 2008Nonli..21.1253D, RINTs: 13585420, MathSciNet: 2422378, zbMath: 1201.37097.
- V.G. Marikhin, V.V. Sokolov, O privedenii pary kvadratichnykh po impul’sam gamil’tonianov k kanonicheskoi forme i o veshchestvennom chastichnom razdelenii peremennykh dlya volchka Klebsha, Nelineinaya dinamika, 4(3), 313-322 (2008) [V.G. Marikhin, V.V. Sokolov, On the Reduction of the Pair of Hamiltonians Quadratic in Momenta to Canonic Form and Real Partial Separation of Variables for the Clebsch Top], RINTs: 11929247.
- A.V. Odesskii, M.V. Pavlov, V.V. Sokolov, Klassifikatsiya integriruemykh uravnenii tipa uravneniya Vlasova, TMF, 154(2), 249-260 (2008) [A.V. Odesskii, M.V. Pavlov, V.V. Sokolov, Classification of integrable Vlasov-type equations, Theor. Math. Phys, 154(2), 209–219 (2008)]; arXiv:0710.5655, WoS: 000253216500004, Scopus: 2-s2.0-39349117644, ADS: 2008TMP...154..209O, RINTs: 13592339, MathSciNet: 2424005, zbMath: 1146.76061.
- V.V. Sokolov, S.Ya. Startsev, Simmetrii nelineinykh giperbolicheskikh sistem tipa tsepochek Tody, TMF, 155(2), 344-355 (2008) [V.V. Sokolov, S.Y. Startsev, Symmetries of nonlinear hyperbolic systems of the Toda chain type, Theor. Math. Phys., 155(2), 802-811 (2008)], WoS: 000256083500013, Scopus: 2-s2.0-43949119437, ADS: 2008TMP...155..802S, RINTs: 20731892, MathSciNet: 2446138, zbMath: 1167.37034.
- A.V. Odesskii, V.V. Sokolov, O (2+1)-mernykh sistemakh gidrodinamicheskogo tipa, obladayushchikh psevdopotentsialom s podvizhnymi osobennostyami, Funkts. analiz i ego pril., 42(3), 53-62 (2008) [A.V. Odesskii, V.V. Sokolov, On (2+1)-dimensional hydrodynamic type systems possessing a pseudopotential with movable singularities, Func. Anal. and Its Appl, 42(3), 205-212 (2008)]; math-ph/0702026, WoS: 000259070800005, Scopus: 2-s2.0-39349096241, ADS: 2007math.ph...2026O, InSpire: 744281, RINTs: 20730512, MathSciNet: 2454476, zbMath: 1175.35028.
- A.B. Shabat, V.E. Adler, V.G. Marikhin, V.V. Sokolov (eds.), Encyclopedia of Integrable Systems, L.D. Landau Institute for Theoretical Physics - Research Institute for Symbolic Computations, J. Kepler Universität (2007) [on-line].
- A. Odesskii, V. Sokolov, Algebraic structures connected with pairs of compatible associative algebras, Int. Math. Res. Notices, 2006, 43734 (2006); math/0512499, WoS: 000242575800001, Scopus: 2-s2.0-33751543975, ADS: 2005math.....12499O, InSpire: 701339, RINTs: 13522385, MathSciNet: 2264716, zbMath: 1151.16030.
- A.V. Odesskii, V.V. Sokolov, Compatible Lie brackets related to elliptic curve, J. Math. Phys., 47, 013506 (2006); math/0506503, WoS: 000235015000024, Scopus: 2-s2.0-31644441801, ADS: 2006JMP....47a3506O, InSpire: 686062, RINTs: 13518522, MathSciNet: 2201803.
- V.V. Sokolov, T. Wolf, Integrable quadratic classical Hamiltonians on so(4) and so(3,1), J. Phys. A 39 (8), 1915-1926 (2006); nlin/0405066, WoS: 000236046400010, Scopus: 2-s2.0-32344443994, ADS: 000236046400010, RINTs: 13529462, MathSciNet: 2209308, zbMath: 1087.37047.
- A.V. Odesskii, V.V. Sokolov, Integrable matrix equations related to pairs of compatible associative algebras, J. Phys. A 39(40), 12447-12456 (2006); math/0604574, WoS: 000241543300014, Scopus: 2-s2.0-33748983548, ADS: 2006JPhA...39..011O, InSpire: 715468, RINTs: 13517660, MathSciNet: 2265833, zbMath: 1151.16030.
- I.Z. Golubchik, V.V. Sokolov, Soglasovannye skobki Li i uravnenie Yanga-Bakstera, TMF, 146 (2), 195-207 (2006) [I.Z. Golubchik, V.V. Sokolov, Compatible Lie brackets and the Yang-Baxter equation, Theor. Math. Phys., 146 (2), 159-169 (2006)], WoS: 000236080100001, Scopus: 2-s2.0-32544433285, ADS: 2006TMP...146..159G, RINTs: 9213646, MathSciNet: 2243126, zbMath: 1177.37067.
- V.G. Marikhin, V.V. Sokolov, Pary kommutiruyushchikh gamil’tonianov, kvadratichnykh po impul’sam, TMF, 149(2), 147-160 (2006) [V.G. Marikhin, V.V. Sokolov, Pairs of commuting Hamiltonians quadratic in the momenta, Theor. Math. Phys., 149(2), 1425-1436 (2006)]; arXiv:0710.4035, WoS: 000242873600001, Scopus: 2-s2.0-33751295585, ADS: 2006TMP...149.1425M, RINTs: 9296928, MathSciNet: 2302858, zbMath: 1177.70021.
- I.Z. Golubchik, V.V. Sokolov, Factorization of the current algebra and integrable top-like systems, J. Nonlinear Math. Phys., 12, Suppl.1, 343-350 (2005), WoS: 000226501000029, Scopus: 2-s2.0-30444437769, ADS: 2005JNMP...12S.343G, RINTs: 13480504, MathSciNet: 2117191, zbMath: 1362.17039.
- V.G. Marikhin, V.V. Sokolov, Separation of variables on a non-hyperelliptic curve, Regul. Chaotic Dyn., 10(1), 59-70 (2005); nlin/0412065, WoS: 000229110600006, Scopus: 2-s2.0-33644943249, ADS: 2004nlin.....12065M, RINTs: 13489896, MathSciNet: 2136830, zbMath: 1077.37518.
- V.G. Marikhin. V.V. Sokolov, Razdelenie peremennykh na negiperellipticheskoi krivoi, Nelineinaya dinamika, 1(1), 53-67 (2005), RINTs: 11967577.
- V.G. Marikhin, V.V. Sokolov, O kvazishtekkelevykh gamil’tonianakh, Uspekhi mat. nauk, 60:5(365), 175-176 (2005) [V.G. Marikhin, V.V. Sokolov, On quasi-Stäckel Hamiltonians, Russ. Math. Surv., 60(5), 981-983 (2005)], WoS: 000235973500010, Scopus: 2-s2.0-33644934875, ADS: 2005RuMaS..60..981M, RINTs: 14731438, MathSciNet: 2195685, zbMath: 1140.37017.
- V.V. Sokolov, Ob odnom klasse kvadratichnykh gamil’tonianov na so(4), Dokl. Akad. nauk, 394 (5), 602-605 (2004) [V.V. Sokolov, One class of quadratic so(4) Hamiltonians, Dokl. Math., 69 (1), 108-111 (2004)], WoS: 000220229900027, Scopus: 2-s2.0-1842540304, RINTs: 13459218, MathSciNet: 2084050, zbMath: 1122.37315.
- V.V. Sokolov, O razlozheniyakh algebry petel’ nad so(3) v pryamuyu summu dvukh podalgebr, Dokl. Akad. nauk, 397 (3), 321-324 (2004) [V.V. Sokolov, On decompositions of the loop algebra over so(3) into a sum of two subalgebras, Dokl. Math., 70 (1), 568-570 (2004)], WoS: 000223632600022, Scopus: 2-s2.0-5344269865, RINTs: 13470335, MathSciNet: 2119683, zbMath: 1378.17038.
- A.G. Meshkov, V.V. Sokolov, Klassifikatsiya integriruemykh divergentnykh N-komponentnykh evolyutsionnykh sistem, TMF, 139(2), 192–208 (2004) [A.G. Meshkov, V.V. Sokolov, Classification of integrable divergent N-component evolution systems, Theor. Math. Phys., 139(2), 609-622 (2004)], WoS: 000222138000002, Scopus: 2-s2.0-4043080034, ADS: 2004TMP...139..609M, RINTs: 13461520, MathSciNet: 2084553, zbMath: 1178.37083.
- I.Z. Golubchik, V.V. Sokolov, Faktorizatsiya algebry petel’ i integriruemye sistemy tipa volchkov, TMF, 141(1), 3-23 (2004) [I.Z. Golubchik, V.V. Sokolov, Factorization of the loop algebra and integrable toplike systems, Theor. Math. Phys., 141 (1), 1329-1347 (2004)]; nlin/0403023, WoS: 000225149500001, Scopus: 2-s2.0-5344227662, ADS: 2004TMP...141.1329G, RINTs: 13447646, MathSciNet: 2124507, zbMath: 1178.37075.
- O.V. Efimovskaya, V.V. Sokolov, Razlozheniya algebry petel’ nad so(4) i integriruemye modeli tipa uravneniya kiral’nogo polya, Fundament. i prikl. matem., 10(1), 39-47 (2004) [O.V. Efimovskaya, V.V. Sokolov, Decompositions of the loop algebra over so(4) and integrable models of the chiral equation type, J. Math. Sci., 136(6), 4385-4391 (2006)], Scopus: 2-s2.0-33745678560, RINTs: 9068293, MathSciNet: 2119751, zbMath: 1080.37071.
- I.V. Komarov, V.V. Sokolov, A.V. Tsiganov, Poisson maps and integrable deformations of the Kowalevski top, J. Phys. A 36(29), 8035-8048 (2003); nlin/0304033, WoS: 000184691700010, Scopus: 2-s2.0-0042843393, ADS: 2003JPhA...36.8035K, InSpire: 617237, RINTs: 13437161, MathSciNet: 2007508, zbMath: 1073.70005.
- R. Hernández Heredero, A. Shabat, V. Sokolov, A new class of linearizable equations, J. Phys. A 36(47), L605-L614 (2003); nlin/0301001, WoS: 000188194800002, Scopus: 2-s2.0-0344287473, ADS: 2003JPhA...36L.605H, RINTs: 13427638, MathSciNet: 2023333, zbMath: 1076.37524.
- A.G. Meshkov, V.V. Sokolov, Integrable evolution equations on the N-dimensional sphere, Commun. Math. Phys., 232 (1), 1-18 (2002), WoS: 000180033700001, Scopus: 2-s2.0-0036882747, ADS: 2002CMaPh.232....1M, InSpire: -, RINTs: 13407084, MathSciNet: 1942855, zbMath: 1012.37049.
- V.V. Sokolov, A.V. Tsyganov, Pary Laksa dlya deformirovanykh volchkov Kovalevskoi i Goryacheva-Chaplygina, TMF, 131(1), 118-125 (2002) [V.V. Sokolov, A.V. Tsiganov, Lax pairs for the deformed Kowalevski and Goryachev-Chaplygin tops, Theor. Math. Phys., 131(1), 543-549 (2002)]; nlin/0111035, WoS: 000175678000010, Scopus: 2-s2.0-0036243396, RINTs: 13392107, MathSciNet: 1931058, zbMath: 1051.70002.
- V.V. Sokolov, A.V. Tsyganov, Kommutativnye puassonovy podalgebry dlya skobok Sklyanina i deformatsii izvestnykh integriruemykh modelei, TMF, 133(3), 485-500 (2002) [V.V. Sokolov, A.V. Tsiganov, Commutative Poisson subalgebras for Sklyanin brackets and deformations of some known integrable models, Theor. Math. Phys., 133(3), 1730-1743 (2002)]; nlin/0112011, WoS: 000180450400013, Scopus: 2-s2.0-0036453777, ADS: 2001nlin.....12011S, RINTs: 13397187, MathSciNet: 2001557, zbMath: 1067.37076.
- I.Z. Golubchik, V.V. Sokolov, Soglasovannye skobki Li i integriruemye uravneniya tipa modeli glavnogo kiral’nogo polya, Funkts. analiz i ego pril., 36(3), 9-19 (2002) [I.Z. Golubchik, V.V. Sokolov, Compatible Lie brackets and integrable equations of the principal chiral model type, Funct. Anal. Appl., 36(3), 172-181 (2002)], WoS: 000178488500002, Scopus: 2-s2.0-0036377328, RINTs: 14213019, MathSciNet: 1935899, zbMath: 1022.17024.
- V.V. Sokolov, Generalized Kowalewski top: new integrable cases on e(3) and so(4), CRM Proceedings and Lecture Notes, 32, 307-313 (2002) [The Kowalevski Property. Edited by: Vadim B. Kuznetsov, ISBN 978-0-8218-2885-4]; nlin/0110022, ADS: 2001nlin.....10022S, MathSciNet: 1916789, zbMath: -.
- V.V. Sokolov, T. Wolf, Classification of integrable polynomial vector evolution equations, J. Phys. A 34(49), 11139-11148 (2001); nlin/0611038, WoS: 000173666900033, Scopus: 2-s2.0-0035862017, ADS: 2001JPhA...3411139S, RINTs: 13378156, MathSciNet: 1872986, zbMath: 0988.35159.
- A.V. Borisov, I.S. Mamaev, V.V. Sokolov, Novyi integriruemyi sluchai na so(4), Dokl. Akad. nauk, 381(5), 614-615 (2001) [A.V. Borisov, I.S. Mamaev, V.V. Sokolov, A new integrable case on so(4), Dokl. Phys., 46(12), 888-889 (2001)], WoS: 000173329800016, Scopus: 2-s2.0-0035563836, ADS: 2001DokPh..46..888B, RINTs: 13382737 .
- V.V. Sokolov, Novyi integriruemyi sluchai dlya uravnenii Kirkhgofa, TMF, 129(1), 31-37 (2001) [V.V. Sokolov, A new integrable case for the Kirchhoff equation, Theor. Math. Phys., 129(1), 1335-1340 (2001)], WoS: 000172400800004, Scopus: 2-s2.0-0035540359, RINTs: 13369306, MathSciNet: 1904746, zbMath: 1036.70003.
- A.V. Zhiber, V.V. Sokolov, Tochno integriruemye giperbolicheskie uravneniya liuvillevskogo tipa, Uspekhi mat. nauk, 56:1(337), 63-106 (2001) [A.V. Zhiber, V.V. Sokolov, Exactly integrable hyperbolic equations of Liouville type, Russ. Math. Surv., 56(1), 61-101 (2001)], WoS: 000170126400002, Scopus: 2-s2.0-0035619903, ADS: 2001RuMaS..56...61Z, RINTs: 14210391, MathSciNet: 1845643, zbMath: 1003.35093.
- A.V. Mikhailov, V.V. Sokolov, Integrable ODEs on associative algebras, Commun. Math. Phys., 211 (1), 231-251 (2000); solv-int/9908004, WoS: 000087191500011, Scopus: 2-s2.0-0034349467, ADS: 2000CMaPh.211..231M, RINTs: 13347573, MathSciNet: 1757014, zbMath: 0956.37040.
- I.Z. Golubchik, V.V. Sokolov, Generalized operator Yang-Baxter equations, integrable ODEs and nonassociative algebras, J. Nonlinear Math. Phys., 7 (2), 184-197 (2000); nlin/0003034, WoS: 000087444000005, Scopus: 2-s2.0-0141846121, ADS: 2000JNMP....7..184G, RINTs: 13348046, MathSciNet: 1763637, zbMath: 1119.37318.
- A.V. Mikhailov, V.V. Sokolov, Integriruemye obyknovennye differentsial’nye uravneniya na svobodnykh assotsiativnykh algebrakh, TMF, 122(1), 88-101 (2000) [A.V. Mikhailov, V.V. Sokolov, Integrable ordinary differential equations on free associative algebras, Theor. Math. Phys., 122(1), 72-83 (2000)], WoS: 000086224200008, Scopus: 2-s2.0-0034348823, ADS: 2000TMP...122...72M, RINTs: 13345801, MathSciNet: 1776509, zbMath: 0962.34004.
- I.Z. Golubchik, V.V. Sokolov, Mnogokomponentnoe obobshchenie ierarkhii uravneniya Landau–Lifshitsa, TMF, 124(1), 62-71 (2000) [I.Z. Golubchik, V.V. Sokolov, Multicomponent generalization of the hierarchy of the Landau-Lifshitz equation, Theor. Math. Phys., 124(1), 909-917 (2000)], WoS: 000089449800005, Scopus: 2-s2.0-0034348244, ADS: 2000TMP...124..909G, RINTs: 13347552, MathSciNet: 1821313, zbMath: 1112.37324.
- I.Z. Golubchik, V.V. Sokolov, Eshche odna raznovidnost’ klassicheskogo uravneniya Yanga–Bakstera, Funkts. analiz i ego pril., 34(4), 75-78 (2000) [I.Z. Golubchik, V.V. Sokolov, One more kind of the classical Yang-Baxter equation, Funct. Anal. Appl., 34(4), 296-298 (2000)], WoS: 000166603100007, Scopus: 2-s2.0-0034559603, RINTs: -, MathSciNet: 1818287, zbMath: 1156.17306.
- V.V. Sokolov, T. Wolf, A symmetry test for quasilinear coupled systems, Inverse Problems, 15(2), L5-L11 (1999); nlin/0611037, WoS: 000079913400001, Scopus: 2-s2.0-0009939882, ADS: 1999InvPr..15L...5S, RINTs: 13313166, zbMath: 0924.35150.
- M. Gürses, A. Karasu, V.V. Sokolov, On construction of recursion operators from Lax representation, J. Math. Phys., 40(12), 6473-6490 (1999); solv-int/9909003, WoS: 000083731000021, Scopus: 2-s2.0-0033249099, ADS: 1999JMP....40.6473G, InSpire: 882911, RINTs: 13317507, zbMath: 0977.37038.
- A.V. Zhiber, V.V. Sokolov, Novyi primer giperbolicheskogo nelineinogo uravneniya, obladayushchego integralami, TMF, 120(1), 20-26 (1999) [A.V. Zhiber, V.V. Sokolov, New example of a nonlinear hyperbolic equation possessing integrals, Theor. Math. Phys., 120(1), 834-839 (1999)], WoS: 000083293900002, Scopus: 2-s2.0-0033246245, ADS: 1999TMP...120..834Z, RINTs: 13311983, MathSciNet: 1737201, zbMath: 0957.35092.
- I.Z. Golubchik, V.V. Sokolov, Obobshchennye uravneniya Gaizenberga na ℤ-graduirovannykh algebrakh Li, TMF, 120(2), 248–255 (1999) [I.Z. Golubchik, V.V. Sokolov, Generalized Heisenberg equations on ℤ-graded Lie algebras, Theor. Math. Phys., 120(2), 1019-1025 (1999)], WoS: 000083500600006, Scopus: 2-s2.0-0033240142, ADS: 1999TMP...120.1019G, RINTs: 13318959, MathSciNet: 1737290, zbMath: 0999.37050.
- P.J. Olver, V.V. Sokolov, Integrable evolution equations on associative algebras, Commun. Math. Phys., 193 (2), 245-268 (1998), WoS: 000073718100001, Scopus: 2-s2.0-0032478456, ADS: 1998CMaPh.193..245O, RINTs: 13303341, MathSciNet: 1618163, zbMath: 0908.35124.
- P.J. Olver, V.V. Sokolov, Non-abelian integrable systems of the derivative nonlinear Schrödinger type, Inverse Problems, 14(6), L5-L8 (1998), WoS: 000077699500001, Scopus: 2-s2.0-0002775872, ADS: 1998InvPr..14L...5O, RINTs: 13298167, MathSciNet: 1662511, zbMath: 0915.35097.
- S.P. Balandin, V.V. Sokolov, On the Painlevé test for non-Abelian equations, Phys. Lett. A 246 (3-4), 267-272 (1998), WoS: 000075879500010, Scopus: 2-s2.0-0001555498, ADS: 1998PhLA..246..267B, RINTs: 13304198.
- I.Z. Golubchik, V.V. Sokolov, O nekotorykh obobshcheniyakh metoda faktorizatsii, TMF, 110(3), 339–350 (1997) [I.Z. Golubchik, V.V. Sokolov, On some generalizations of the factorization method, Theor. Math. Phys., 110(3), 267–276 (1997)], WoS: A1997XU74600001, Scopus: 2-s2.0-0031489979, ADS: 1997TMP...110..267G, MathSciNet: 1471183, zbMath: 0922.58034.
- I.Z. Golubchik, V.V. Sokolov, Integriruemye uravneniya na ℤ-graduirovannykh algebrakh Li, TMF, 112(3), 375–383 (1997) [I.Z. Golubchik, V.V. Sokolov, Integrable equations on ℤ-graded Lie algebras, Theor. Math. Phys., 112(3), 1097–1103 (1997)], Scopus: 2-s2.0-0031312754.
- S.I. Svinolupov, V.V. Sokolov, Deformatsii iordanovykh troinykh sistem i integriruemye uravneniya, TMF, 108(3), 388–392 (1996) [S.I. Svinolupov, V.V. Sokolov, Deformations of triple-Jordan systems and integrable equations, Theor. Math. Phys., 108(3), 1160–1163 (1996)], Scopus: 2-s2.0-0041112879.
- I.Z. Golubchik, V.V. Sokolov, Ob integriruemykh sistemakh, porozhdennykh postoyannym resheniem uravneniya Yanga–Bakstera, Funkts. analiz i ego pril., 30(4), 68–71 (1996) [I.Z. Golubchik, V.V. Sokolov, Integrable systems generated by a constant solution of the Yang-Baxter equation, Funct. Anal. Appl., 30(4), 275–277 (1996)], WoS: A1996XE19100009, Scopus: 2-s2.0-0002111712, ADS: -, InSpire: -, MathSciNet: 1444465, zbMath: :0895.35097.
- I.T. Habibullin, V.V. Sokolov, R.I. Yamilov, Multi-component integrable systems and nonassociative structures, In: Nonlinear Physics: theory and experiment. Nature, structure and properties of nonlinear phenomena. Proc. workshop, Lecce, Italy, June 29-July 7, 1995. Alfinito, E. (ed.) et al., Singapore:, World Scientific Publishing, 1996, 139-168.
- V.V. Sokolov, S.I. Svinolupov, Deformations of nonassociative algebras and integrable differential equations, Acta Appl. Math., 41 (1-3), 323-339 (1995), WoS: A1995TH96200020, Scopus: 2-s2.0-0012125506.
- V.V. Sokolov, S.I. Svinolupov, On nonclassical invertible transformations of hyperbolic equations, Eur. J. Appl. Math., 6(2), 145-156 (1995), WoS: -, Scopus: 2-s2.0-84974423213, ADS: -.
- V.V. Sokolov, A.V. Zhiber, On the Darboux integrable hyperbolic equations, Phys. Lett. A 208 (4-6), 303-308 (1995), WoS: A1995TH41800007, Scopus: 2-s2.0-0001692213, ADS: 1995PhLA..208..303S, MathSciNet: 1363158, zbMath: 1020.35508.
- R.H. Heredero, V.V. Sokolov, S.I. Svinolupov, Classification of third order integrable evolution equations, Physica D 87 (1-4), 32-36 (1995), WoS: -, Scopus: 2-s2.0-0343590013, ADS: 1995PhyD...87....9V, MathSciNet: 1361664, zbMath: 1194.35412.
- A.V. Zhiber, V.V. Sokolov, S.Ya. Startsev, O nelineinykh giperbolicheskikh uravneniyakh, integriruemykh po Darbu, Dokl. Akad. nauk, 343 (6), 746-748 (1995) [A.V. Zhiber, V.V. Sokolov, S.Ya. Startsev, Darboux integrable nonlinear hyperbolic equations, Dokl. Math., 52 (1), 128-130 (1995)], WoS: A1995RZ01000007, MathSciNet: 1359404, zbMath: 0880.35077.
- V. Drinfel’d, V. Sokolov, Lie algebras and equation of Korteweg-de Vries type, Adv. Ser. Math. Phys., 22, 25-88 (1995) [W-Symmetry. Ed. by P. Bouwknegt & K. Schoutens. World Sci. Publ., River Edge, NJ. ISBN: 978-981-02-1762-4].
- V.V. Sokolov, S.I. Svinolupov, Deformations of Nonassociative Algebras and Integrable Differential Equations, In: Geometric and Algebraic Structures in Differential Equarions (Ed. by P.H.M. Kersten, I.S. Krasil'shchik), p. 323-339. Kluwer, 1995. ISBN 978-94-010-6565-8, DOl: 10.1007/978-94-009-0179-7.
- R.H. Heredero, V.V. Sokolov, S.I. Svinolupov, Why are there so many integrable evolution equations of third order?, In: Nonlinear evolution equations and dynamical systems. NEEDS '94. Proc. 10th Int. Workshop, Los Alamos, NM, USA, September 11-18, 1994. Ed. by V.G. Makhanov et al., Singapore: World Scientific. 42-53 (1995). ISBN 981-02-2219-X.
- R.H. Heredero, V.V. Sokolov, S.I. Svinolupov, Toward the classification of third-order integrable evolution equations, J. Phys. A 27(13), 4557-4568 (1994), WoS: A1994NW72300029, Scopus: 2-s2.0-21344484668, ADS: 1994JPhA...27.4557H.
- S.I. Svinolupov, V.V. Sokolov, Vektorno-matrichnye obobshcheniya klassicheskikh integriruemykh uravnenii, TMF, 100(2), 214–218 (1994) [S.I. Svinolupov, V.V. Sokolov, Vector-matrix generalizations of classical integrable equations, Theor. Math. Phys., 100(2), 959–962 (1994)], WoS: A1994QH51400005, Scopus: 2-s2.0-0001514810, ADS: 1994TMP...100..959S.
- S.I. Svinolupov, V.V. Sokolov, Obobshchenie teoremy Li i iordanovy volchki, Matem. zametki, 53(2), 122–125 (1993) [S.I. Svinolupov, V.V. Sokolov, A generalization of a theorem of Lie, and Jordan tops, Math. Notes, 53(2), 201–203 (1993)], WoS: A1993MY10400037, Scopus: 2-s2.0-0002264038.
- I.Z. Golubchik, V.V. Sokolov, S.I. Svinolupov, A new class of nonassociative algebras and a generalized factorization method, Erwin Schrödinger International Institute for Mathematics and Physics, Preprint ESI 53 (1993), 11 pages..
- A.V. Bocharov, V.V. Sokolov, S.I. Svinolupov, On Some Equivalence Problems for Differential Equations, Erwin Schrödinger International Institute for Mathematics and Physics, Preprint ESI 54 (1993), 12 pages..
- V.V. Sokolov, S.I. Svinolupov, T. Wolf, On linearizable evolution equations of second order, Phys. Lett. A 163 (5-6), 415-418 (1992), WoS: A1992HN48800014, Scopus: 2-s2.0-0042430764.
- S.I. Svinolupov, V.V. Sokolov, Faktorizatsiya evolyutsionnykh uravnenii, Uspekhi mat. nauk, 47:3(285), 115–146 (1992) [S.I. Svinolupov, V.V. Sokolov, Factorization of evolution equations, Russ. Math. Surv., 47(3), 127-162 (1992)], WoS: A1992KU98000004, Scopus: 2-s2.0-0039695644.
- S.I. Svinolupov, V.V. Sokolov, O predstavleniyakh kontrgradientnykh algebr Li v kontaktnykh vektornykh polyakh, Funkts. analiz i ego pril., 25(2), 76–78 (1991) [S.I. Svinolupov, V.V. Sokolov, Representations of contragradient Lie algebras in contact vector fields, Funct. Anal. Appl., 25(2), 146–147 (1991)], Scopus: 2-s2.0-34249927996.
- A.V. Mikhailov, A.B. Shabat, V.V. Sokolov, The symmetry approach to classification of integrable equations, In: What is integrability?, Springer Series in Nonlinear Dynamics, p. 115-184 (1991) [Ed. by V.E. Zakharov, Berlin etc., Springer-Verlag, 1991. xiv, 321 pp. ISBN 3-540-51964-5], MathSciNet: 1098338, zbMath: 0741.35070.
- S.I. Svinolupov, V.V. Sokolov, Slabye nelokal’nosti v evolyutsionnykh uravneniyakh, Matem. zametki, 48(6), 91–97 (1990) [S.I. Svinolupov, V.V. Sokolov, Weak nonlocalities in evolution equations, Math. Notes, 48(6), 1234-1239 (1990)], Scopus: 2-s2.0-0042993246.
- A.V. Mikhailov, A.B. Shabat, V.V. Sokolov, Simmetriinyi podkhod k klassifikatsii integriruemykh uravnenii, V kn: “Integriruemost’ i kineticheskie uravneniya dlya solitonov”, Kiev: Naukova dumka, 1990, s.213-279, MathSciNet: 1162332.
- V.V. Sokolov, S.I. Svinolupov, T. Wolf, On the generation of nonlinear integrable evolution equations from linear second order equations, Rechnergestutzte Problemlosung/Computeranalytik (Weibig, 1988), 152 - 163, Studientexte, Bd.105, Tech. Univ. Dresden, 1989.
- V.V. Sokolov, O simmetriyakh evolyutsionnykh uravnenii, Uspekhi mat. nauk, 43:5(263), 133–163 (1988) [V.V. Sokolov, On the symmetries of evolution equations, Russ. Math. Surv., 43(5), 165-204 (1988)], Scopus: 2-s2.0-0000438720.
- V.V. Sokolov, Psevdosimmetrii i differentsial’nye podstanovki, Funkts. analiz i ego pril., 22(2), 47–56 (1988) [V.V. Sokolov, Pseudosymmetries and differential substitutions, Funct. Anal. Appl., 22(2), 121-129 (1988)], Scopus: 2-s2.0-6344241543.
- V.V. Sokolov, O strukture algebry simmetrii dlya odnopolevogo evolyutsionnogo uravneniya, Dokl. Akad. nauk SSSR, 294 (5), 1065-1069 (1987) [V.V. Sokolov, On the structure of the algebra of symmetries for a one-field evolution equation, Sov. Math., Dokl. 35 (3), 635-638 (1987)], WoS: A1987J088900010, MathSciNet: 898315, zbMath: 0668.58018.
- F.Kh. Mukminov, V.V. Sokolov, Integriruemye evolyutsionnye uravneniya so svyazyami, Matem. sb., 133(175), № 3(7), 392–414 (1987) [F.Kh. Mukminov, V.V. Sokolov, Integrable evolution equations with constraints, Math. USSR Sb., 61(2), 389-410 (1988)], Scopus: 2-s2.0-0141716027.
- V.V. Sokolov, Finite-dimensional subalgebras in K3 and evolution equations, Reports of Stocholm University, 1986, 74-89.
- V.G. Drinfel’d, V.V. Sokolov, Ob uravneniyakh, rodstvennykh uravneniyu Kortevega-de Friza, Dokl. Akad. nauk SSSR, 284 (1), 29-33 (1985) [V.G. Drinfel'd, V.V. Sokolov, On equations related to the Korteweg-de Vries equation, Sov. Math., Dokl. 32, 361-365 (1985)], WoS: A1985ARE8600005, MathSciNet: 806661, zbMath: 0602.35098.
- V.G. Drinfel’d, S.I. Svinolupov, V.V. Sokolov, Klassifikatsiya evolyutsionnykh uravnenii pyatogo poryadka, obladayushchikh beskonechnoi seriei zakonov sokhraneniya, Dokl. AN USSR, ser. A, №10, 7-10 (1985), WoS: A1985ATD8200002.
- V.V. Sokolov, O gamil’tonovosti uravneniya Krichevera - Novikova, Dokl. Akad. nauk SSSR, 277 (1), 48-50 (1984) [V.V. Sokolov, On the Hamiltonian property of the Krichever-Novikov equation, Sov. Math., Dokl. 30, 44-46 (1984)], WoS: A1984TC34200011, MathSciNet: 757069.
- V.V. Sokolov, A.B. Shabat, Classification of integrable evolution equations, Sov. Sci. Rev., Sect. C, Math. Phys. Rev. 4, 221-280 (1984) [Edited by S. P. Novikov. Harwood Academic Publishers, Chur, 1984. ix+280 pp. ISBN: 3-7186-0146-X 58-06], Scopus: 2-s2.0-003434946, MathSciNet: 0768941.
- V.G. Drinfel’d, V.V. Sokolov, Algebry Li i uravneniya tipa Kortevega–de Friza, Itogi nauki i tekhn. Ser. Sovrem. probl. mat. Nov. dostizh., t. 24, 81–180 (1984) ) [V.G. Drinfel'd and V.V. Sokolov, Lie algebras and equations of Korteweg-de Vries type, J. Sov. Math., 30(2), 1975-2036 (1984)], Scopus: 2-s2.0-34250120087, MathSciNet: 0760998.
- S.I. Svinolupov, V.V. Sokolov, R.I. Yamilov, O preobrazovaniyakh Beklunda dlya integriruemykh evolyutsionnykh uravnenii, Dokl. Akad. nauk SSSR, 271 (4), 802-805 (1983) [S.I. Svinolupov, V.V. Sokolov, R.I. Yamilov, On Bäcklund transformations for integrable evolution equations, Sov. Math., Dokl. 28, 165-168 (1983)], WoS: A1983RG19200008, MathSciNet: 0719823, zbMath: 0567.35072.
- V.G. Drinfel’d, V.V. Sokolov, Simmetrii v uravneniyakh Laksa, V sb: Integriruemye sistemy, pod red. A.B. Shabata, Ufa, s. 3-22 (1982).
- S.I. Svinolupov, V.V. Sokolov, O zakonakh sokhraneniya dlya uravnenii s netrivial’noi algebroi Li-Beklunda, V sb: Integriruemye sistemy, pod red. A.B. Shabata, Ufa, s.53-67 (1982).
- S.I. Svinolupov, V.V. Sokolov, On conservation laws for equations having a non-trivial Lie-Bäcklund algebra. (Russian), Integriruemye sistemy. Sbornik rabot. Pod red, A.B. Shabata, Ufa, 1982, s. 53-67, zbMath: 0563.35060.
- S.I. Svinolupov, V.V. Sokolov, Ob evolyutsionnykh uravneniyakh s netrivial’nymi zakonami sokhraneniya, Funkts. analiz i ego pril., 16(4), 86-87 (1982) [S.I. Svinolupov, V.V. Sokolov, Evolution equations with nontrivial conservative laws, Funct. Anal. Appl., 16(4), 317-319 (1982)], Scopus: 2-s2.0-0000185501, MathSciNet: 0684142.
- V.G. Drinfel’d, V.V. Sokolov, Symmetry in Lax equations. (Russian), Integriruemye sistemy. Sbornik rabot pod red, A.B. Shabata, Ufa, 1982, s. 3-22, zbMath: 0576.35020.
- V.G. Drinfel’d, V.V. Sokolov, Uravneniya tipa Kortevega-de Friza i prostye algebry Li, Dokl. Akad. nauk SSSR, 258 (1), 11-16 (1981) [V.G. Drinfel'd, V.V. Sokolov, Equations of Korteweg-de Vries type and simple Lie algebras, Sov. Math., Dokl. 23, 457-462 (1981)], WoS: A1981LV04100001, Scopus: -, MathSciNet: 0615463, zbMath: 0513.35073.
- B.A. Magadaev, V.V. Sokolov, O polnoi algebre Li-Beklunda uravneniya Kortevega-de Friza, Mekhanika neodnorodnykh sploshnykh sred, Dinamika sploshnoi sredy, 52, 48-55 (1981), MathSciNet: 0706449.
- V.G. Drinfel’d, V.V. Sokolov, Novye evolyutsionnye uravneniya, obladayushchie (L,A) - paroi, Trudy seminara S.L. Soboleva, Inst. matem. Novosibirsk, 2, 5-9 (1981), MathSciNet: 0719384.
- V.V. Sokolov, A.B. Shabat, (L,A)-pary i zamena tipa Rikatti, Funkts. analiz i ego pril., 14(2), 79-80 (1980) [V.V. Sokolov, A.B. Shabat, (L,A)-Pairs and a Ricatti type substitution, Funct. Anal. Appl., 14(2), 148-150 (1980)], Scopus: 2-s2.0-1842505422, MathSciNet: 0575223, zbMath: 0471.35018.
- V.V. Sokolov, Primery kommutativnykh kolets differentsial’nykh operatorov, Funkts. analiz i ego pril., 12(1), 82–83 (1978) [V.V. Sokolov, Examples of commutative rings of differential operators, Funct. Anal. Appl., 12(1), 65-66 (1978)], WoS: -, Scopus: 2-s2.0-0002304568, ADS: -, MathSciNet: 500295, zbMath: 0408.34017.
- V.V. Sokolov, O biratsional’no izomorfnykh kommutativnykh kol’tsakh differentsial’nykh operatorov, Funkts. analiz i ego pril., 12(3), 88–89 (1978) [V.V. Sokolov, Birationally isomorphic commutative rings of differential operators, Funct. Anal. Appl., 12(3), 234-236 (1978)], Scopus: 2-s2.0-34250284602, MathSciNet: 0509398, zbMath: 0423.47013.
- V.V. Sokolov, O simmetricheskikh kvazigruppakh, Matematicheskie issledovaniya, vyp. 43 "Kvazigruppy i kombinatorika", s. 157-159 (1976), MathSciNet: 0480827 , zbMath: 0444.20066.