Институт теоретической физики им. Л.Д. Ландау

Российской академии наук

Павел Михайлович Лушников

Ведущий научный сотрудник

Доктор физ.-мат. наук

Эл. почта:


    1. 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, РИНЦ: 45000612.
    2. 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.
    3. 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, РИНЦ: 46825090, MathSciNet: 4269877.
    4. P.M. Lushnikov, V.E. Zakharov, Poles and branch cuts in free surface hydrodynamics, Water Waves, 3(1), 251-266 (2021); arXiv:1911.11609, ADS: 2021WatWa...3..251L, MathSciNet: 4246395.
    5. 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, РИНЦ: 43275681, MathSciNet: 4103230.
    6. 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, РИНЦ: 38699461, MathSciNet: 3945557, zbMath: 1415.76050.
    7. 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, РИНЦ: 41689692, MathSciNet: 3981180, zbMath: 1419.76065.
    8. Н.М. Зубарев, П.М. Лушников, Взрывное развитие квантовой неустойчивости Кельвина-Гельмгольца свободной поверхности Не-II, ЖЭТФ, 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: 2020JETPL.110..711A, РИНЦ: 43229343.
    9. А.И. Дьяченко, С.А. Дьяченко, П.М. Лушников, В.Е. Захаров, Новые интегралы движения и неканоническая гамильтонова структуры для двумерной гидродинамики со свободной поверхностью, Океанологические исследования, 47(1), 51-54 (2019), РИНЦ: 41221946.
    10. 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.
    11. 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.
    12. P.M. Lushnikov, N. Vladimirova, Toward defeating diffraction and randomness for laser beam propagation in turbulent atmosphere, Письма в ЖЭТФ, 108 (9), 611-613 (2018) [JETP Lett., 108(9), 571-576 (2018)]; arXiv:1711.02841, WoS: 000454885700001, Scopus: 2-s2.0-85055994372.
    13. 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.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. P.M. Lushnikov, N. Vladimirova, Nonlinear combining of multiple laser beams in Kerr medium, Optics Express, 23(24), 31120-31125 (2015); arXiv:1510.02461, WoS: 000366614100084.
    19. 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.
    20. 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.
    21. S.I. Dejak, D. Egli, P.M. Lushnikov, I.M. Sigal, On blowup dynamics in the Keller–Segel model of chemotaxis, Алгебра и анализ, 25(4), 47-84 (2013) [St. Petersburg Math. J., 25(4), 547–574 (2014)], WoS: 000343074200004, Scopus: 2-s2.0-84924452661.
    22. S.A. Dyachenko, P.M. Lushnikov, N. Vladimirova, Logarithmic scaling of the collapse in the critical Keller-Segel equation, Nonlinearity, 26(11), 3011-3041, WoS: 000326730400006.
    23. S.A. Dyachenko, P.M. Lushnikov, A.O. Korotkevich, The complex singularity of a Stokes wave, Письма в ЖЭТФ, 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.
    24. 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: 10.1103/PhysRevE.85.021903.
    25. 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], WoS: 000304064300007.
    26. 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.
    27. 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.
    28. 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.
    29. 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.
    30. A.O. Korotkevich, P.M. Lushnikov, H.A. Rose, Collective stimulated Brillouin scatter, arXiv:1105.2094.
    31. P. M. Lushnikov, P. Šulc, K.S. Turitsyn, Learning the nonlinear interactions from particle trajectories, arXiv:1102.2290.
    32. P.M. Lushnikov, N. Vladimirova, Non-Gaussian statistics of multiple filamentation, Opt. Lett., 35(12), 1965-1967 (2010); arXiv:1005.2651, WoS: 000279435800013.
    33. P.M. Lushnikov, Critical chemotactic collapse, Phys. Lett. A 374(15-16), 1678-1685 (2010).
    34. 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), WoS: 000281225400010.
    35. Y.‐J. Chung, P.M. Lushnikov, N. Vladimirova, Collapse Turbulence in Nonlinear Schrödinger Equation, AIP Conf. Proc., 1168, 1235-1138 (2009), WoS: 000273023600303.
    36. I.R. Gabitov, P.M. Lushnikov, Symposium: Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas, AIP Conf. Proc., 1168, 1217-1218 (2009).
    37. 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.
    38. 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.
    39. 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.
    40. 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.
    41. P.M. Lushnikov, H.A. Rose, Collective stimulated Brillouin backscatter, arXiv:0710.0634.
    42. 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.
    43. 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.
    44. P.M. Lushnikov, H.A. Rose, Practical Formula for Laser Intensity at Beam Spray Onset, physics/0609233.
    45. 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.
    46. 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.
    47. P.M. Lushnikov, Oscillating tails of a dispersion-managed soliton, J. Opt. Soc. Am. B 21(11), 1913-1918 (2004); nlin/0407023, WoS: 000224973300005.
    48. 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.
    49. 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.
    50. 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.
    51. 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, РИНЦ: 14380289.
    52. 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, РИНЦ: 14352343 .
    53. 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, РИНЦ: -.
    54. 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, РИНЦ: 44953784.
    55. 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.
    56. 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, РИНЦ: 13381840, zbMath: -.
    57. 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, РИНЦ: 13348349.
    58. 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, РИНЦ: 13355486, MathSciNet: 1792595.
    59. P.M. Lushnikov, On the boundary of the dispersion-managed soliton existence, Письма в ЖЭТФ, 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, РИНЦ: 13358704.
    60. 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.
    61. 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, РИНЦ: 13328927.
    62. 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, РИНЦ: 13304655.
    63. П.М. Лушников, Гексагональные световые структуры в фоторефрактивных кристаллах с зеркалом обратной связи, ЖЭТФ, 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, РИНЦ: 13289297.
    64. П.М. Лушников, Два механизма возбуждения поверхностных волн: неустойчивость Кельвина-Гельмгольца и неустойчивость Майлса, Изв. АН. Физика Атмосферы и Океана, 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: -, РИНЦ: 13279874.
    65. P.M. Lushnikov, Dynamical criterion of a collapse in the nonlinear Schrodinger equation, Изв. АН, Сер. физ., 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)].
    66. Е.А. Кузнецов, П.М. Лушников, Нелинейная теория возбуждения волн ветром за счет неустойчивости Кельвина - Гельмгольца, ЖЭТФ, 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.
    67. П.М. Лушников, Динамический критерий коллапса, Письма в ЖЭТФ, 62 (5), 447-452 (1995) [P.M. Lushnikov, Dynamic criterion for collapse, JETP Lett., 62 (5), 461-467 (1995)], WoS: A1995TE38900014.