Pavel M. Lushnikov
Former staff member Leading researcher Professor of RAS, Doctor of science
Email: |
Publications
- A.O. Korotkevich, P.M. Lushnikov, A.A. Semenova, S.A. Dyachenko, Superharmonic instability of Stokes waves, Studies in Applied Mathematics, 150(1), 119-134 (2023); arXiv:2206.00725, WoS: 000865088200001, ADS: 2022arXiv220600725K, MathSciNet: 4563224.
- A. Semenova, S.A. Dyachenko, A.O. Korotkevich, P.M. Lushnikov, Comparison of split-step and Hamiltonian integration methods for simulation of the nonlinear Schrödinger type equations, J. Computational Physics, 427, art. 110061 (2021); arXiv:2008.03938, WoS: 000612234600009, Scopus: 2-s2.0-85099589896, ADS: 2021JCoPh.42710061S, RINTs: 45000612.
- P.M. Lushnikov, D.A. Silantyev, M. Siegel, Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation, J. Nonlinear Sci. 31, art. 82 (2021); arXiv:2010.01201, ADS: 2021JNS....31...82L.
- A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Short branch cut approximation in two-dimensional hydrodynamics with free surface, Proc. Roy. Soc. A 477 (2249), 20200811 (2021); arXiv:2003.05085, WoS: 000647709300001, Scopus: 2-s2.0-85107630020, ADS: 2021RSPSA.47700811D, RINTs: 46825090, MathSciNet: 4269877, EDN: YYXSAW.
- P.M. Lushnikov, V.E. Zakharov, Poles and branch cuts in free surface hydrodynamics, Water Waves, 3(1), 251-266 (2021); arXiv:1911.11609, WoS: -, ADS: 2021WatWa...3..251L, MathSciNet: 4246395.
- I. Kolokolov, V. Lebedev, P.M. Lushnikov, Statistical properties of a laser beam propagating in a turbulent medium, Phys. Rev. E 101, 042137 (2020); arXiv:1912.06519, WoS: 000529311400002, Scopus: 2-s2.0-85084556080, ADS: 2020PhRvE.101d2137K, RINTs: 43275199, MathSciNet: 4103230.
- A.I. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Non-canonical Hamiltonian structure and Poisson bracket for two-dimensional hydrodynamics with free surface, J. Fluid Mech., 869, 526-552 (2019); arXiv:1809.00707, WoS: 000466346000001, Scopus: 2-s2.0-85065040284, ADS: 2019JFM...869..526D, RINTs: 38699461, MathSciNet: 3945557, zbMath: 1415.76050.
- A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion, J. Fluid Mech., 874, 891-925 (2019); arXiv:1809.09584, WoS: 000475355200001, Scopus: 2-s2.0-85073157514, ADS: 2019JFM...874..891D, RINTs: 41689692, MathSciNet: 3981180, zbMath: 1419.76065, EDN: GPUHHN.
- N.M. Zubarev, P.M. Lushnikov, Vzryvnoe razvitie kvantovoi neustoichivosti Kel’vina-Gel’mgol’tsa svobodnoi poverkhnosti Ne-II, ZhETF, 156(4), 711-720 (2019) [N.M. Zubarev, P.M. Lushnikov, Explosive Development of the Kelvin–Helmholtz Quantum Instability on the He-II Free Surface, JETP, 129(4), 651-658 (2019)], WoS: 000511119900013, Scopus: 2-s2.0-85076551272, ADS: 2019JETP..129..651Z, RINTs: 41143132.
- A.I. D’yachenko, S.A. D’yachenko, P.M. Lushnikov, V.E. Zakharov, Novye integraly dvizheniya i nekanonicheskaya gamil’tonova struktury dlya dvumernoi gidrodinamiki so svobodnoi poverkhnost’yu, Okeanologicheskie issledovaniya, 47(1), 51-54 (2019), RINTs: 41221946.
- A.I. Dyachenko, S.A. Dyachenko, P.M. Lushnikov, V.E. Zakharov, Babenko's equation for Stokes wave and integrability of free surface dynamics, Analytical and numerical methods for solving of hydrodynamics, mathematical physics and biology problems. Tezisy dokladov mezhdunarodnoi konferentsii, posvyashchennoi 100-letiyu K.I. Babenko. 2019. s. 63-66., RINTs: 41389495.
- L.G. Wright, Z.M. Ziegler, P.M. Lushnikov, Z. Zhu, M.A. Eftekhar, D.N. Christodoulides, F.W. Wise, Multimode nonlinear fiber optics: Massively parallel numerical solver, tutorial, and outlook, IEEE J. Sel. Top. Quantum Electron., 24(3), 5100516 (2018); arXiv:1708.05324, WoS: 000419545400001, Scopus: 2-s2.0-85037654632, ADS: 2018IJSTQ..2479749W, RINTs: 35866565, EDN: VDKPIW.
- P.M. Lushnikov, N.M. Zubarev, Exact Solutions for Nonlinear Development of a Kelvin-Helmholtz Instability for the Counterflow of Superfluid and Normal Components of Helium II, Phys. Rev. Lett. 120, 204504 (2018); arXiv:1710.10684, WoS: 000433031900006, Scopus: 2-s2.0-85047209269, ADS: 2018PhRvL.120t4504L, RINTs: 35506000.
- P.M. Lushnikov, N. Vladimirova, Toward defeating diffraction and randomness for laser beam propagation in turbulent atmosphere, Pis’ma v ZhETF, 108 (9), 611-613 (2018) [JETP Lett., 108(9), 571-576 (2018)]; arXiv:1711.02841, WoS: 000454885700001, Scopus: 2-s2.0-85055994372, ADS: 2018JETPL.108..571L, RINTs: 36517544.
- D.A. Silantyev, P.M. Lushnikov, H.A. Rose, Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations, Physics of Plasmas 24, 042104 (2017); arXiv:1610.06137, WoS: 000400390700018, Scopus: 2-s2.0-85016772264, ADS: 2017PhPl...24d2104S, RINTs: 29628577.
- D.A. Silantyev, P.M. Lushnikov, H.A. Rose, Langmuir wave filamentation in the kinetic regime. II. Weak and strong pumping of nonlinear electron plasma waves as the route to filamentation, Physics of Plasmas 24, 042105 (2017); arXiv:1610.10071, WoS: 000400390700019, Scopus: 2-s2.0-85016713719, ADS: 2017PhPl...24d2105S, RINTs: -.
- P.M. Lushnikov, S.A. Dyachenko, D.A. Silantyev, New conformal mapping for adaptive resolving of the complex singularities of Stokes wave, Proc. R. Soc. A 473(2202), 2017019 (2017); arXiv:1703.06343, WoS: 000408474100021, Scopus: -, ADS: 2017RSPSA.47370198L, RINTs: -.
- V.E. Zakharov, S. Dyachenko, P. Lushnikov, What we know about wave breaking, American Geophysical Union, Fall Meeting 2016, abstract #NG23A-1822, ADS: 2016AGUFMNG23A1822Z.
- P.M. Lushnikov, Structure and location of branch point singularities for Stokes waves on deep water, J. Fluid Mech., 800, 557-594 (2016), WoS: 000379846600022, Scopus: 2-s2.0-84978401169, ADS: 2016JFM...800..557L, RINTs: 26959423, MathSciNet: 3521330, zbMath: 1445.76024.
- S.A. Dyachenko, P.M. Lushnikov, A.O. Korotkevich, Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Padé approximation, Stud. Appl. Math., 137(4), 419-472 (2016); arXiv:1507.02784, WoS: 000390035500001, Scopus: 2-s2.0-84962352924, ADS: 2015arXiv150702784D, RINTs: 27567205, MathSciNet: 3570991, zbMath: 1356.35166.
- P.M. Lushnikov, N. Vladimirova, Modeling of nonlinear combining of multiple laser beams in Kerr medium, Optics Express, 23(24), 31120-31125 (2015); arXiv:1510.02461, WoS: 000366614100084, Scopus: 2-s2.0-84957549598, ADS: 2015OExpr..2331120L, RINTs: 27079374.
- A.O. Korotkevich, P.M. Lushnikov, H.A. Rose, Beyond the random phase approximation: Stimulated Brillouin backscatter for finite laser coherence times, Phys. Plasmas 22, 012107 (2015); arXiv:1311.6432, WoS: 000349178100011, Scopus: 2-s2.0-84923828203, ADS: 2015PhPl...22a2107K, RINTs: 24010801.
- P.M. Lushnikov, Branch cuts of Stokes wave on deep water. Part II: Structure and location of branch points in infinite set of sheets of Riemann surface, arXiv:1509.03393, ADS: 2015arXiv150903393L.
- S.A. Dyachenko, P.M. Lushnikov, N. Vladimirova, Logarithmic scaling of the collapse in the critical Keller-Segel equation, Nonlinearity, 26(11), 3011-3041; arXiv:1301.5604, WoS: 000326730400006, Scopus: 2-s2.0-84888114923, ADS: 2013Nonli..26.3011D, RINTs: 22113683, MathSciNet: 3129426, zbMath: 1278.35029.
- P.M. Lushnikov, S.A. Dyachenko, N. Vladimirova, Beyond leading-order logarithmic scaling in the catastrophic self-focusing of a laser beam in Kerr media, Phys. Rev. A 88, 013845 (2013); arXiv:1208.4425, WoS: 000322573100011, Scopus: 2-s2.0-84881501487, ADS: 2013PhRvA..88a3845L, RINTs: 20561625.
- S.I. Dejak, D. Egli, P.M. Lushnikov, I.M. Sigal, On blowup dynamics in the Keller–Segel model of chemotaxis, Algebra i analiz, 25(4), 47-84 (2013) [St. Petersburg Math. J., 25(4), 547–574 (2014)]; arXiv:1304.1583, WoS: 000343074200004, Scopus: 2-s2.0-84924452661, ADS: 2013arXiv1304.1583D, RINTs: 20730218, MathSciNet: 3184616, zbMath: 06373466.
- S.A. Dyachenko, P.M. Lushnikov, A.O. Korotkevich, The complex singularity of a Stokes wave, Pis’ma v ZhETF, 98(11), 767-771 (2013) [Complex singularity of a stokes wave, JETP Letters, 98(11), 675-679 (2014)]; arXiv:1311.1882, WoS: 000331717700007, Scopus: 2-s2.0-84926295118, ADS: 2014JETPL..98..675D, RINTs: 21197161.
- R. Gejji, P.M. Lushnikov, M. Alber, Macroscopic model of self-propelled bacteria swarming with regular reversals, Phys. Rev. E 85, 021903 (2012) [18 pages]; arXiv:1101.1287, WoS: 000299994800007, Scopus: 2-s2.0-84857567661, ADS: 2012PhRvE..85b1903G, RINTs: 18211325.
- P.M. Lushnikov, P. Šulc, K.S. Turitsyn, Non-Gaussianity in single-particle tracking: Use of kurtosis to learn the characteristics of a cage-type potential, Phys. Rev. E 85, 051905 (2012) [6 pages]; arXiv:1102.2290, WoS: 000304064300007, Scopus: 2-s2.0-84861917540, ADS: 2012PhRvE..85e1905L, RINTs: -.
- S.I. Dejak, P.M. Lushnikov, Yu.N. Ovchinnikov, I.M. Sigal, On spectra of linearized operators for Keller-Segel models of chemotaxis, Physica D 241(15), 1245-1254 (2012); arXiv:1110.6393, WoS: 000305877100002, Scopus: 2-s2.0-84861797265, ADS: 2012PhyD..241.1245D, RINTs: 17987717, MathSciNet: 2930725, zbMath: 1253.92008.
- P. M. Lushnikov, P. Šulc, K.S. Turitsyn, Non-Gaussianity in single-particle tracking: Use of kurtosis to learn the characteristics of a cage-type potential, arXiv:1102.2290, ADS: 2012PhRvE..85e1905L.
- A.O. Korotkevich, P.M. Lushnikov, Proof-of-concept implementation of the massively parallel algorithm for simulation of dispersion-managed WDM optical fiber systems, Opt. Lett., 36(10), 1851-1853 (2011); arXiv:1101.0086, WoS: 000290716000037, Scopus: 2-s2.0-79956322514, ADS: 2011OptL...36.1851K, RINTs: 16992124.
- Y. Chung, P.M. Lushnikov, Strong collapse turbulence in a quintic nonlinear Schrödinger equation, Phys. Rev. E 84, 036602 (2011) [13 pages]; arXiv:1104.4281, WoS: 000298947100002, Scopus: 2-s2.0-80052974191, ADS: 2011PhRvE..84c6602C, RINTs: 18199688.
- A.O. Korotkevich, P.M. Lushnikov, H.A. Rose, Collective stimulated Brillouin scatter, 53rd Annual Meeting of the APS Division of Plasma Physics, November 14-18, 2011, abstract id. TO8.003; arXiv:1105.2094, Scopus: 2011APS..DPPTO8003L.
- A.O. Korotkevich; P.M. Lushnikov, Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas, AIP Conf. Proc. 1389(1), 684–685 (2011) [Proc. Int. Conf. on Numerical Analysis and Applied Mathematics, 19-25 Sept. 2011, Halkidiki, Greece (ICNAAM 2011)], ADS: 2011AIPC.1389..684K.
- S.A. Dyachenko, P.M. Lushnikov, N. Vladimirova, Logarithmic-type Scaling of the Collapse of Keller-Segel Equation, AIP Conf. Proc. 1389, 709-712 (2011), WoS: 000302239800174, Scopus: 2-s2.0-81855176332, ADS: 2011AIPC.1389..709D.
- P.M. Lushnikov, N. Vladimirova, Non-Gaussian statistics of multiple filamentation, Opt. Lett., 35(12), 1965-1967 (2010); arXiv:1005.2651, WoS: 000279435800013, Scopus: 2-s2.0-77954920626, ADS: 2010OptL...35.1965L, RINTs: 15355883.
- P.M. Lushnikov, Critical chemotactic collapse, Phys. Lett. A 374(15-16), 1678-1685 (2010); arXiv:0909.2690, WoS: 000276659900015, Scopus: 2-s2.0-77949277172, ADS: 2010PhLA..374.1678L, RINTs: 15411714, MathSciNet: -, zbMath: 1236.92014.
- P.M. Lushnikov, Collapse and stable self-trapping for Bose-Einstein condensates with 1/rb-type attractive interatomic interaction potential, Phys. Rev. A 82, 023615 (2010); arXiv:1002.1469, WoS: 000281225400010, Scopus: 2-s2.0-77956337840, ADS: 2010PhRvA..82b3615L, RINTs: 15343116.
- Y.‐J. Chung, P.M. Lushnikov, N. Vladimirova, Collapse Turbulence in Nonlinear Schrödinger Equation, AIP Conf. Proc., 1168, 1235-1138 (2009), WoS: 000273023600303, Scopus: 2-s2.0-70450182917, ADS: 2009AIPC.1168.1235C, RINTs: 15355882.
- I.R. Gabitov, P.M. Lushnikov, Symposium: Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas, AIP Conf. Proc., 1168, 1217-1218 (2009).
- P.M. Lushnikov, N. Chen, M. Alber, Macroscopic dynamics of biological cells interacting via chemotaxis and direct contact, Phys. Rev. E 78, 061904 (2008) [12 pages]; arXiv:0809.2260, WoS: 000262240300082, Scopus: 2-s2.0-57749101104, ADS: 2008PhRvE..78f1904L, RINTs: 14846245.
- J.L. Kline, D.S, Montgomery, H.A. Rose, S.R. Goldman, D.H. Froula, J.S. Ross, R.M. Stevenson, P.M. Lushnikov, Mitigation of stimulated Raman scattering in hohlraum plasmas, J. Phys.: Conf. Ser. 112, 022030 (2008), WoS: 000286312000047, Scopus: 2-s2.0-77952967879, ADS: 2008JPhCS.112b2030K, RINTs: 28188818.
- I. Gabitov, R. Indik, L. Mollenauer, M. Shkarayev, M. Stepanov, P.M. Lushnikov, Twin families of bisolitons in dispersion-managed systems, Optics Letters, 32 (6), 605-607 (2007); physics/0609246, WoS: 000244726900008, Scopus: 2-s2.0-33847651439, ADS: 2007OptL...32..605G, RINTs: 14352354.
- M. Alber, N. Chen, P.M. Lushnikov, S.A. Newman, Continuous macroscopic limit of a discrete stochastic model for interaction of living cells, Phys. Rev. Lett. 99, 168102 (2007); physics/0703026, WoS: 000250296000077, Scopus: 2-s2.0-35348964624, ADS: 2007PhRvL..99p8102A, RINTs: 13559427.
- P.M. Lushnikov, H.A. Rose, Collective stimulated Brillouin backscatter, arXiv:0710.0634.
- M. Alber, N. Chen, T. Glimm, P.M. Lushnikov, Multiscale dynamics of biological cells with chemotactic interactions: From a discrete stochastic model to a continuous description, Phys. Rev. E 73, 051901 (2006) (11 pages); physics/0601216, WoS: 000237951300056, Scopus: 2-s2.0-33646348131, ADS: 2006PhRvE..73e1901A, RINTs: 13516934.
- P.M. Lushnikov, H.A. Rose, How much laser power can propagate through fusion plasma?, Plasma Phys. Control. Fusion, 48(10), 1501-1513 (2006); physics/0512271, WoS: 000242110100005, Scopus: 2-s2.0-33749067856, ADS: 2006PPCF...48.1501L, RINTs: 13519559.
- P.M. Lushnikov, H.A. Rose, Practical Formula for Laser Intensity at Beam Spray Onset, physics/0609233, ADS: 2006physics...9233L.
- P.M. Lushnikov, Diffusion of optical pulses in dispersion-shifted randomly birefringent optical fibers, Optics Communs., 245(1-6), 187-192 (2005); nlin/0410056, WoS: 000226614300021, Scopus: 2-s2.0-11444253926, ADS: 2005OptCo.245..187L, RINTs: 13473708.
- P.M. Lushnikov, V.E. Zakharov, On optimal canonical variables in the theory of ideal fluid with free surface, Physica D 203 (1-2), 9-29 (2005) [Errata - Physica D 206 (3-4), 275-275 (2005)]; nlin/0410054, WoS: 000228939700002, Scopus: 2-s2.0-17444394890, ADS: 2005PhyD..203....9L, RINTs: 13493393, MathSciNet: 2135131, zbMath: 1070.35035.
- P.M. Lushnikov, Oscillating tails of a dispersion-managed soliton, J. Opt. Soc. Am. B 21(11), 1913-1918 (2004); nlin/0407023, WoS: 000224973300005, Scopus: 2-s2.0-9244239227, ADS: 2004JOSAB..21.1913L, RINTs: 13458528.
- P.M. Lushnikov, Exactly integrable dynamics of interface between ideal fluid and light viscous fluid, Phys. Lett. A 329(1-2), 49-54 (2004); physics/0407041, WoS: 000223281300007, Scopus: 2-s2.0-3843123046, ADS: 2004PhLA..329...49L, RINTs: 13446812, zbMath: 1209.37103.
- P.M. Lushnikov, H.A. Rose, Instability versus equilibrium propagation of a laser beam in plasma, Phys. Rev. Lett. 92, 255003 (2004); physics/0312055, WoS: 000222266100034, Scopus: 2-s2.0-3442881341, ADS: 2004PhRvL..92y5003L, RINTs: 13454017.
- P.M. Lushnikov, Parallel algorithm for simulating dispersion-managed wavelength-division-multiplexed optical fiber systems, in Frontiers in Optics, OSA Technical Digest (CD) (Optical Society of America, 2003), paper MT72.
- M. Chertkov, I. Gabitov, P. Lushnikov, J. Moeser, Z. Toroczkai, Pinning method of pulse confinement in optical fiber with random dispersion, J. Opt. Soc. Am. B 19(11), 2538-2550 (2002), WoS: 000179241800003, Scopus: 2-s2.0-0038327460, ADS: 2002JOSAB..19.2538C, RINTs: 14380289.
- I.R. Gabitov, P.M. Lushnikov, Nonlinearity management in a dispersion-managed system, Optics Letters, 27 (2), 113-115 (2002); nlin/0111056, WoS: 000173268700013, Scopus: 2-s2.0-0242662041, ADS: 2002OptL...27..113G, RINTs: 14352343 .
- P.M. Lushnikov, Fully parallel algorithm for simulating dispersion-managed wavelength-division-multiplexed optical fiber systems, Optics Letters, 27(11), 939-941 (2002); nlin/0202050, WoS: 000175870300019, Scopus: 2-s2.0-0036601745, ADS: 2002OptL...27..939L, RINTs: -.
- P.M. Lushnikov, Collapse of Bose-Einstein condensates with dipole-dipole interactions, Phys. Rev. A 66, 051601(R) (2002) [4 pages]; cond-mat/0208312, WoS: 00179631900008, Scopus: 2-s2.0-0036878791, ADS: 2002PhRvA..66e1601L, RINTs: 44953784.
- P.M. Lushnikov, Efficient parallel algorithm for simulating wavelength-division-multiplexed dispersion-managed optical fiber systems, in Nonlinear Guided Waves and Their Applications, A. Sawchuk, ed., Vol. 80 of OSA Trends in Optics and Photonics (Optical Society of America, 2002), paper NLMD44.
- P.M. Lushnikov, Dispersion-managed soliton in a strong dispersion map limit, Optics Letters, 26(20), 1535-1537 (2001); nlin/0103050, WoS: 000171551500001, Scopus: 2-s2.0-0001064058, ADS: 2001OptL...26.1535L, RINTs: 13381840, zbMath: -.
- P.M. Lushnikov, Dispersion-managed soliton in optical fibers with zero average dispersion, Optics Letters, 25(16), 1144-1146 (2000); nlin/0008012, WoS: 000088727400004, Scopus: 2-s2.0-0000168967, ADS: 2000OptL...25.1144L, RINTs: 13348349.
- P.M. Lushnikov, M. Saffman, Collapse in a forced three-dimensional nonlinear Schrödinger equation, Phys. Rev. E 62 (4), 5793-5796 (2000), WoS: 000089977000061, Scopus: 2-s2.0-0034297473, ADS: 2000PhRvE..62.5793L, RINTs: 13355486, MathSciNet: 1792595.
- P.M. Lushnikov, On the boundary of the dispersion-managed soliton existence, Pis’ma v ZhETF, 72 (3), 163-167 (2000) [JETP Lett., 72 (3), 111-114 (2000)]; nlin/0008010, WoS: 000089286900004, Scopus: 2-s2.0-0038197743, ADS: 2000JETPL..72..111L, RINTs: 13358704.
- P.M. Lushnikov, N. Saffman,, Collapse and generation of ultrashort optical pulses in a nonlinear optical cavity, Proc. QELS 2000: Quantum Electronics and Laser Science Conference,7-12 May 2000, p.197-198.
- P.M. Lushnikov, A.V. Mamaev, Spontaneous hexagon formation in photorefractive crystal with a single pump wave, Optics Letters, 24(21), 1511-1513 (1999), WoS: 000083598000023, Scopus: 2-s2.0-0008827610, ADS: 1999OptL...24.1511L, RINTs: 13328927.
- P.M. Lushnikov, P. Lodahl, M. Saffman, Transverse modulational instability of counterpropagating quasi-phase-matched beams in a quadratically nonlinear medium, Optics Letters, 23(21), 1650-1652 (1998), WoS: 000076646900005, Scopus: 2-s2.0-0032209179, ADS: 1998OptL...23.1650L, RINTs: 13304655.
- P.M. Lushnikov, Geksagonal’nye svetovye struktury v fotorefraktivnykh kristallakh s zerkalom obratnoi svyazi, ZhETF, 113(3), 1122-1146 (1998) [P.M. Lushnikov, Hexagonal optical structures in photorefractive crystals with a feedback mirror, JETP, 86(3), 614-627 (1998); Errata — 88(1), 206 (1999)], WoS: 000073311800030, Scopus: 2-s2.0-22044434276, ADS: 1998JETP...86..614L, RINTs: 13289297.
- P.M. Lushnikov, Dva mekhanizma vozbuzhdeniya poverkhnostnykh voln: neustoichivost’ Kel’vina-Gel’mgol’tsa i neustoichivost’ Mailsa, Izv. AN. Fizika Atmosfery i Okeana, 34(3), 413-421 (1998) [P.M. Lushnikov, Two mechanisms of surface wave generation: Kelvin-Helmholtz and Miles instabilites, Izvestiya, Atmospheric and Oceanic Physics, 34(3), 370-377 (1998)], WoS: 000074990800015, Scopus: -, ADS: -, RINTs: 13279874.
- P.M. Lushnikov, Dynamical criterion of a collapse in the nonlinear Schrodinger equation, Izv. AN, Ser. fiz., 61 (Suppl.1), ... (1997) [P.M. Lushnikov, Dynamical criterion of a collapse in the nonlinear Schrodinger equation, Bull. RAS: Physics, 61(Suppl.1), 46-51 (1997)].
- E.A. Kuznetsov, P.M. Lushnikov, Nelineinaya teoriya vozbuzhdeniya voln vetrom za schet neustoichivosti Kel’vina - Gel’mgol’tsa, ZhETF, 108 (2), 614-630 (1995) [E.A. Kuznetsov, P.M. Lushnikov, Nonlinear theory of the excitation of waves by a wind due to the Kelvin-Helmholtz instability, JETP, 81(2), 332-340 (1995)], WoS: A1995RY18300020.
- P.M. Lushnikov, Dinamicheskii kriterii kollapsa, Pis’ma v ZhETF, 62 (5), 447-452 (1995) [P.M. Lushnikov, Dynamic criterion for collapse, JETP Lett., 62 (5), 461-467 (1995)], WoS: A1995TE38900014.