Russian Academy of Sciences

Landau Institute for Theoretical Physics

Maxim V. Pavlov

Former staff member (1988 - 1996)

Ph. D.

Publications

    1. 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.
    2. E.V. Ferapontov, K.R. Khusnutdinov, M.V. Pavlov, Klassifikatsiya integriruemykh (2+1)-mernykh kvazilineinykh ierarkhii, TMF, 144(1), 35-43 (2005) [E.V. Ferapontov, K.R. Khusnutdinova, M.V. Pavlov, Classification of integrable (2+1)-dimensional quasilinear hierarchies, Theor. Math. Phys., 144(1), 907-915 (2005)], WoS: 000231408800005, Scopus: 2-s2.0-23044509843, ADS: 2005TMP...144..907F, RINTs: 13496490, MathSciNet: 2194257, zbMath: 1178.37072.
    3. M.V. Pavlov, Integrable hydrodynamic chains, J. Math. Phys. 44(9), 4134-4158 (2003); nlin/0301010, WoS: 000184899500027, Scopus: 2-s2.0-0242473122, ADS: 2003JMP....44.4134P, RINTs: 14070206, MathSciNet: 2003950, zbMath: 1062.37078.
    4. M.V. Pavlov, Integrable hydrodynamic chains, Nonlinear physics: theory and experiment, II: Proceedings of the Workshop, Gallipoli, Italy, 27 June - 6 July 2002, pp. 101–107. World Sci. Publ., River Edge, NJ, 2003, ADS: 2003npte.conf..101P, MathSciNet: 2028771.
    5. M. Pavlov, Integrable systems and metrics of constant curvature, J. Nonlinear Math. Phys., 9, Suppl. 1, 173-191 (2002); nlin/0111013 2002, WoS: 000175414000015, Scopus: 2-s2.0-0345531326, ADS: 2002JNMP....9S.173P, RINTs: 26891557, MathSciNet: 1900194, zbMath: 1362.37120.
    6. M.V. Pavlov, S.I. Svinolupov, R.A. Sharipov, Invariantnyi kriterii gidrodinamicheskoi integriruemosti, Funkts. analiz i ego pril., 30(1), 18-29 (1996) [M.V. Pavlov, R.A. Sharipov, S.I. Svinolupov, Invariant integrability criterion for equations of hydrodynamic type, Funct. Anal. Appl., 30 (1), 15-22 (1996)]; solv-int/9407003, WoS: A1996VG00100002, Scopus: 2-s2.0-27244443809, ADS: 1994solv.int..7003P, MathSciNet: 1387485, zbMath: 0872.35084.
    7. A.M. Kamchatnov, M.V. Pavlov, Periodic solutions and Whitham equations for the AB system, J. Phys. A 28(11), 3279-3288 (1995), WoS: A1995RC68000024, Scopus: 2-s2.0-21844498813, ADS: 1995JPhA...28.3279K.
    8. A.M. Kamchatnov, M.V. Pavlov, O periodicheskikh volnakh v teorii samoindutsirovannoi prozrachnosti, ZhETF, 107 (1), 44-54 (1995) [A.M. Kamchatnov, M.V. Pavlov, Periodic waves in the theory of self-induced transparency, JETP, 80(1), 22-27 (1995)], WoS: A1995QH48500003, ADS: 1995JETP...80...22K.
    9. M.V. Pavlov, Sokhranenie “formy” gamil’tonovykh struktur pri lineinykh zamenakh nezavisimykh peremennykh, Matem. zametki, 57(5), 704-711 (1995) [M.V. Pavlov, Conservation of the “forms” of Hamiltonian structures upon linear substitution for independent variables, Math. Notes, 57(5), 489-495 (1995)], WoS: A1995TV02400008, MathSciNet: 1347373, zbMath: 0848.35133.
    10. A.Ya. Mal’tsev, M.V. Pavlov, O metode usredneniya Uizema, Funkts. analiz i ego pril., 29(1), 7-24 (1995) [A.Ya. Maltsev, M.V. Pavlov, On Whitham's averaging method, Funct. Anal. Appl., 29(1), 6-19 (1995)]; nlin/0306053, WoS: A1995RW33900002, Scopus: 2-s2.0-17844405991, ADS: 2003nlin......6053M, MathSciNet: 1328535, zbMath: 0843.35018.
    11. M.V. Pavlov, O lokal’nykh gamil’tonovykh strukturakh sistemy Benni, Dokl. Akad. nauk, 338 (1), 33-34 (1994) [M.V. Pavlov, On local Hamiltonian structures of Benney set, Phys.-Dokl., 39 (9), 607-608 (1994)], WoS: A1994PL96500007, ADS: 1994DokPh..39..607P, MathSciNet: 1304552, zbMath: 0887.76016.
    12. M.V. Pavlov, Mul’tigamil’tonovy struktury uravnenii Uizema, Dokl. Akad. nauk, 338 (2), 165-167 (1994) [M.V. Pavlov, Multi-Hamiltonian structures of the Whitham equations, Dokl. Math., 50 (2), 220-223 (1995)], WoS: A1994PL96600005, MathSciNet: 1305015, zbMath: 0861.35102.
    13. M.V. Pavlov, Metod usredneniya Uizema i ierarkhiya Kortevega–de Frisa, Dokl. Akad. nauk, 338 (3), 317-319 (1994) [M.V. Pavlov, The Whitham averaging method and the Kortveg–de Vries hierarchy, Phys.-Dokl., 39(9), 615-617 (1994)], WoS: A1994PM87300008, Scopus: -, ADS: 1994DokPh..39..615P, MathSciNet: 1303709, zbMath: 0867.35087.
    14. M.V. Pavlov, Ellipticheskie koordinaty i mul’tigamil’tonovy struktury sistem gidrodinamicheskogo tipa, Dokl. Akad. nauk, 339 (1), 21-23 (1994) [M.V. Pavlov, Elliptic coordinates and multi-Hamiltonian structures of hydrodynamical type equations, Dokl. Math., 50 (3), 374-377 (1995)], WoS: A1994PX77800005, Scopus: -, MathSciNet: 1315174, zbMath: 0872.58025.
    15. M.V. Pavlov, Dvoinoe lagranzhevo predstavlenie KdV i obshchee reshenie uravnenii Uizema, Dokl. Akad. nauk, 339 (2), 157-161 (1994) [M.V. Pavlov, Double Lagrangian representation of KDV and general solution of Whitham equations, Dokl. Math., 50 (3), 400-406 (1995)], WoS: A1994PX77900003, MathSciNet: 1316939, zbMath: 0866.35101.
    16. M.V. Pavlov, Tochnaya integriruemost’ sistemy uravnenii Benni, Dokl. Akad. nauk, 339 (3), 311-313 (1994) [M.V. Pavlov, Exact integrability of Benney equations, Phys.-Dokl. 39(11), 745-747 (1994)], WoS: A1994PX78000006, ADS: 1994DokPh..39..745P, MathSciNet: 1315185, zbMath: 0874.35095.
    17. M.V. Pavlov, Gamil’tonova struktura uravnenii Uizema, Uspekhi mat. nauk, 49:1(295), 219-220 (1994) [M.V. Pavlov, The Hamiltonian structure of the Whitham equations, Russ. Math. Surv., 49(1), 241-242 (1994)], WoS: A1994QL92900015, ADS: 1994RuMaS..49..241P, MathSciNet: 1307143, zbMath: 0861.35106.
    18. M.V. Pavlov, R.A. Sharipov, S.I. Svinolupov, Invariant Integrability Criterion for the Equations of Hydrodynamical Type, solv-int/9407003, ADS: 1994solv.int..7003P.
    19. M.V. Pavlov, Diskretnaya simmetriya i lokal’nye gamil’tonovy struktury sistem gidrodinamicheskogo tipa, Uspekhi mat. nauk, 48:6(294), 167-168 (1993) [M.V. Pavlov, Discrete symmetry and local Hamiltonian structures of systems of hydrodynamical type, Russ. Math. Surv., 48(6), 178-180 (1993)], WoS: A1993PZ92000016, Scopus: 2-s2.0-84956211144, ADS:  1993RuMaS..48..178P , MathSciNet: 1264171.
    20. E.V. Ferapontov, M.V. Pavlov, Quasiclassical limit of coupled KdV equations. Riemann invariants and multi-Hamiltonian structure, Physica D 52 (2-3), 211-219 (1991).
    21. M.V. Pavlov, S.P. Tsarev, O zakonakh sokhraneniya uravnenii Benni, Uspekhi mat. nauk, 46:4(280), 169-170 (1991) [M.V. Pavlov, S.P. Tsarev, On conservation laws of Benney equations, Russ. Math. Surv., 46(4), 196-197 (1991)], ADS: 1991RuMaS..46..196P, MathSciNet: 1138970, zbMath: 0779.7600.
    22. M.V. Pavlov, Nelineinoe uravnenie Shredingera i metod usredneniya Bogolyubova–Uizema, TMF, 71(3), 351-356 (1987) [M.V. Pavlov, Nonlinear Schrödinger equation and the Bogolyubov-Whitham method of averaging, Theor. Math. Phys., 71(3), 584-588 (1987)], WoS: A1987L575800005, ADS: 1987TMP....71..584P, MathSciNet: 0910272.
    23. M.V. Pavlov, Gamil’tonov formalizm slabonelineinykh sistem gidrodinamiki, TMF, 73(2), 316-320 (1987) [M.V. Pavlov, Hamiltonian formalism of weakly nonlinear hydrodynamic systems, Theor. Math. Phys., 73(2), 1242-1245 (1987)], WoS: A1987P005000016, ADS: 1987TMP....73.1242P, MathSciNet: 0933552.
    24. M.V. Pavlov, Gamil’tonov formalizm uravneniya elektroforeza. Integriruemye uravneniya gidrodinamiki, Preprint ITF im. L.D. Landau 1987-17, 6 c.