Russian Academy of Sciences

Landau Institute for Theoretical Physics

Pavel M. Lushnikov

Senior researcher

Doctor of science

Email:

Publications

    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. P.M. Lushnikov, N. Vladimirova, Toward defeating diffraction and randomness for laser beam propagation in turbulent atmosphere, arXiv:1711.02841.
    7. 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.
    8. P.M. Lushnikov, N. Vladimirova, Nonlinear combining of multiple laser beams in Kerr medium, Optics Express, 23(24), 31120-31125 (2015); arXiv:1510.02461.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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].
    14. 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.
    15. 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.
    16. 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.
    17. A.O. Korotkevich, P.M. Lushnikov, H.A. Rose, Collective stimulated Brillouin scatter, arXiv:1105.2094.
    18. P. M. Lushnikov, P. Šulc, K.S. Turitsyn, Learning the nonlinear interactions from particle trajectories, arXiv:1102.2290.
    19. P.M. Lushnikov, N. Vladimirova, Non-Gaussian statistics of multiple filamentation, Opt. Lett., 35(12), 1965-1967 (2010); arXiv:1005.2651.
    20. I.R. Gabitov, P.M. Lushnikov, Symposium: Nonlinear Waves and Singularities in Optics, Hydrodynamics and Plasmas, AIP Conf. Proc., 1168, 1217-1218 (2009).
    21. 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.
    22. 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.
    23. 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.
    24. P.M. Lushnikov, H.A. Rose, Collective stimulated Brillouin backscatter, arXiv:0710.0634.
    25. 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.
    26. 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.
    27. P.M. Lushnikov, H.A. Rose, Practical Formula for Laser Intensity at Beam Spray Onset, physics/0609233.
    28. P.M. Lushnikov, Diffusion of optical pulses in dispersion-shifted randomly birefringent optical fibers, Optics Communs., 245(1-6), 187-192 (2005); nlin/0410056.
    29. 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.
    30. P.M. Lushnikov, Oscillating tails of a dispersion-managed soliton, J. Opt. Soc. Am. B 21(11), 1913-1918 (2004); nlin/0407023.
    31. 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.
    32. P.M. Lushnikov, H.A. Rose, Instability versus equilibrium propagation of a laser beam in plasma, Phys. Rev. Lett. 92, 255003 (2004); physics/0312055.
    33. 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.
    34. 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).
    35. I.R. Gabitov, P.M. Lushnikov, Nonlinearity management in a dispersion-managed system, Optics Letters, 27 (2), 113-115 (2002); nlin/0111056.
    36. 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.
    37. P.M. Lushnikov, Collapse of Bose-Einstein condensates with dipole-dipole interactions, Phys. Rev. A 66, 051601(R) (2002) [4 pages]; cond-mat/0208312.
    38. 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.
    39. P.M. Lushnikov, Dispersion-managed soliton in a strong dispersion map limit, Optics Letters, 26(20), 1535-1537 (2001); nlin/0103050.
    40. P.M. Lushnikov, Dispersion-managed soliton in optical fibers with zero average dispersion, Optics Letters, 25(16), 1144-1146 (2000); nlin/0008012.
    41. P.M. Lushnikov, M. Saffman, Collapse in a forced three-dimensional nonlinear Schrödinger equation, Phys. Rev. E 62 (4), 5793-5796 (2000).
    42. 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.
    43. 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.
    44. P.M. Lushnikov, A.V. Mamaev, Spontaneous hexagon formation in photorefractive crystal with a single pump wave, Optics Letters, 24(21), 1511-1513 (1999).
    45. 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).
    46. 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)].
    47. P.M. Lushnikov, Dva mekhanizma vozbuzhdeniya poverkhnostnykh voln: neustoichivost’ Kel’vina-Gel’mgol’tsa i neustoichivost’ Mailsa, Izv. AN. Fizika Atmosfery i Okeana, 34, 413-421 (1998) [P.M. Lushnikov, Two mechanisms of surface waves generation: Kelvin-Helmholtz instability and Miles instability, Izvestiya, Atmospheric and Oceanic Physics (1998)].
    48. 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)].
    49. 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)].
    50. 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)].