RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PERSONAL OFFICE
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Subscription
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



UFN:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


UFN, 1997, Volume 167, Number 11, Pages 1137–1167 (Mi ufn1388)  

This article is cited in 210 scientific papers (total in 210 papers)

REVIEWS OF TOPICAL PROBLEMS

Hamiltonian formalism for nonlinear waves

V. E. Zakharov, E. A. Kuznetsov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: The Hamiltonian description of hydrodynamic type systems in application to plasmas, hydrodynamics, and magnetohydrodynamics is reviewed with emphasis on the problem of introducing canonical variables. The relation to other Hamiltonian approaches, in particular natural-variable Poisson brackets, is pointed out. It is shown that the degeneracy of noncanonical Poisson brackets relates to a special type of symmetry, the relabeling transformations of fluid-particle Lagrangian markers, from which all known vorticity conservation theorems, such as Ertel's, Cauchy's, Kelvin's, as well as vorticity frozenness and the topological Hopf invariant, are derived. The application of canonical variables to collisionless plasma kinetics is described. The Hamiltonian structure of Benney's equations and of the Rossby wave equation is discussed. Davey—Stewartson's equation is given the Hamiltonian form. A general method for treating weakly nonlinear waves is presented based on classical perturbation theory and the Hamiltonian reduction technique.

DOI: https://doi.org/10.3367/UFNr.0167.199711a.1137

Full text: PDF file (4729 kB)
Full text: http://www.ufn.ru/ru/articles/1997/11/a/

English version:
Physics–Uspekhi, 1997, 40:11, 1087–1116

Bibliographic databases:

Document Type: Article
PACS: 52.30.-q, 52.35.Ra, 52.55.Fa
Received: October 1, 1997

Citation: V. E. Zakharov, E. A. Kuznetsov, “Hamiltonian formalism for nonlinear waves”, UFN, 167:11 (1997), 1137–1167; Phys. Usp., 40:11 (1997), 1087–1116

Linking options:
  • http://mi.mathnet.ru/eng/ufn1388
  • http://mi.mathnet.ru/eng/ufn/v167/i11/p1137

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Romanova N., “Hamiltonian Approach to the Derivation of Evolution Equations for Wave Trains in Weakly Unstable Media”, Nonlinear Process Geophys., 5:4 (1998), 241–253  crossref  adsnasa  isi
    2. Romanova N., “Resonant Interactions of Internal Waves in Atmospheric Shear Flows with the Participation of Marginally Unstable Modes”, Izv. Akad. Nauk. Fiz. Atmos. Okean. Biol., 34:6 (1998), 763–771  isi
    3. Berning M., Rubenchik A., “A Weakly Nonlinear Theory for the Dynamical Rayleigh-Taylor Instability”, Phys. Fluids, 10:7 (1998), 1564–1587  crossref  mathscinet  zmath  adsnasa  isi  scopus
    4. Zakharov V., Kuznetsov E., “Optical Solitons and Quasisolitons”, J. Exp. Theor. Phys., 86:5 (1998), 1035–1046  crossref  adsnasa  isi  scopus
    5. E. A. Kuznetsov, V. P. Ruban, “Hamiltonian dynamics of vortex lines in hydrodynamic-type systems”, Jetp Lett, 67:12 (1998), 1076  crossref  adsnasa  isi  scopus
    6. Ruban V., “Motion of Magnetic Flux Lines in Magnetohydrodynamics”, J. Exp. Theor. Phys., 89:2 (1999), 299–310  crossref  adsnasa  isi  scopus
    7. Kuznetsov E., “Hard Soliton Excitation Regime: Stability Investigation”, J. Exp. Theor. Phys., 89:1 (1999), 163–172  crossref  adsnasa  isi  scopus
    8. Dobrokhotov S., “Hugoniot-Maslov Chains for Solitary Vortices of the Shallow Water Equations, I. - Derivation of the Chains for the Case of Variable Coriolis Forces and Reduction to the Hill Equation”, Russ. J. Math. Phys., 6:2 (1999), 137–173  mathscinet  zmath  isi
    9. Kuznetsov E., Ruban V., “Cherenkov Interaction of Vortices with a Free Surface”, J. Exp. Theor. Phys., 88:3 (1999), 492–505  crossref  adsnasa  isi  scopus
    10. Rylov YA., “Spin and Wave Function as Attributes of Ideal Fluid”, J. Math. Phys., 40:1 (1999), 256–278  crossref  mathscinet  zmath  adsnasa  isi  scopus
    11. Kuznetsov E., Ruban V., “Dynamics of Vortex and Magnetic Lines in Ideal Hydrodynamics and Mhd”, Nonlinear Mhd Waves and Turbulence, Lecture Notes in Physics, 536, eds. Passot T., Sulem P., Springer-Verlag Berlin, 1999, 346–368  crossref  zmath  adsnasa  isi
    12. Kuznetsov E., “Stability of Solitons”, Optical Solitons: Theoretical Challenges and Industrial Perspectives, Centre de Physique Des Houches, no. 12, eds. Zakharov V., Wabnitz S., Springer-Verlag Berlin, 1999, 31–50  isi
    13. Toshio Yoshikawa, Alexander M Balk, “The growth of fingers and bubbles in the strongly nonlinear regime of the Richtmyer-Meshkov instability”, Physics Letters A, 251:3 (1999), 184  crossref  isi  scopus
    14. Zaiko Y., ““Oscillating” Riemann Invariants of the Hyperbolic Systems of Partial Differential Equations”, Tech. Phys. Lett., 26:10 (2000), 889–890  crossref  adsnasa  isi  scopus
    15. Ruban V., “Slow Flows of a Relativistic Perfect Fluid in a Static Gravitational Field”, Phys. Rev. D, 62:12 (2000), 127504  crossref  adsnasa  isi  scopus
    16. Ruban V., “Interaction of a Vortex Ring with the Free Surface of an Ideal Fluid”, Phys. Rev. E, 62:4, Part a (2000), 4950–4958  crossref  mathscinet  adsnasa  isi  scopus
    17. Skryabin D., “Stability of Multi-Parameter Solitons: Asymptotic Approach”, Physica D, 139:1-2 (2000), 186–193  crossref  mathscinet  zmath  adsnasa  isi
    18. Son D., “Hydrodynamics of Nuclear Matter in the Chiral Limit”, Phys. Rev. Lett., 84:17 (2000), 3771–3774  crossref  adsnasa  isi  scopus
    19. Graham C., Henyey F., “Clebsch Representation Near Points Where the Vorticity Vanishes”, Phys. Fluids, 12:4 (2000), 744–746  crossref  mathscinet  zmath  adsnasa  isi  scopus
    20. Kuznetsov E., Ruban V., “Collapse of Vortex Lines in Hydrodynamics”, J. Exp. Theor. Phys., 91:4 (2000), 775–785  crossref  adsnasa  isi
    21. Didenkulov I., Selivanovsky D., Semenov V., Sokolov I., “Parametrically Stimulated Viscosity for an Oscillating Bubble”, Nonlinear Acoustics at the Turn of the Millennium, AIP Conference Proceedings, 524, eds. Lauterborn W., Kurz T., Amer Inst Physics, 2000, 347–350  crossref  adsnasa  isi
    22. Kuznetsov E., Ruban V., “Hamiltonian Dynamics of Vortex and Magnetic Lines in Hydrodynamic Type Systems”, Phys. Rev. E, 61:1 (2000), 831–841  crossref  mathscinet  adsnasa  isi  scopus
    23. S. Yu. Dobrokhotov, “Integrability of truncated Hugoniot–Maslov chains for trajectories of mesoscale vortices on shallow water”, Theoret. and Math. Phys., 125:3 (2000), 1724–1741  mathnet  crossref  crossref  mathscinet  zmath
    24. Romanova N., Yakushkin I., “Hamiltonian Description of Motion in a Perfect Stratified Fluid”, Dokl. Phys., 46:10 (2001), 742–746  mathnet  mathnet  crossref  mathscinet  adsnasa  isi  scopus
    25. Yakubovich E., Zenkovich D., “Matrix Approach to Lagrangian Fluid Dynamics”, J. Fluid Mech., 443 (2001), 167–196  crossref  mathscinet  zmath  adsnasa  isi  scopus
    26. Ruban V., “Slow Inviscid Flows of a Compressible Fluid in Spatially Inhomogeneous Systems”, Phys. Rev. E, 64:3, Part 2 (2001), 036305  crossref  adsnasa  isi  scopus
    27. Ruban V., Podolsky D., “Hydrodynamics of an Ultrarelativistic Fluid in the Flat Anisotropic Cosmological Model”, Phys. Rev. D, 64:4 (2001), 047503  crossref  adsnasa  isi
    28. Dolzhanskii F., “Mechanical Prototypes of Fundamental Hydrodynamic Invariants”, Izv. Atmos. Ocean. Phys., 37:4 (2001), 414–425  mathscinet  isi
    29. Kats A., “Variational Principle and Canonical Variables in Hydrodynamics with Discontinuities”, Physica D, 152 (2001), 459–474  crossref  mathscinet  zmath  adsnasa  isi  scopus
    30. Dymnikov V., Gritsun A., “Pairing Property of Global Lyapunov Exponents for Models of Atmospheric Dynamics”, Izv. Atmos. Ocean. Phys., 37:3 (2001), 269–274  mathscinet  isi
    31. Ruban V., Podolsky D., Rasmussen J., “Finite Time Singularities in a Class of Hydrodynamic Models”, Phys. Rev. E, 63:5, Part 2 (2001), 056306  crossref  adsnasa  isi  scopus
    32. Willemsen J., “Enhanced Computational Methods for Nonlinear Hamiltonian Wave Dynamics. Part II: New Results”, J. Atmos. Ocean. Technol., 18:5 (2001), 775–790  crossref  isi
    33. Kuznetsov E., “Weak Magnetohydrodynamic Turbulence of a Magnetized Plasma”, J. Exp. Theor. Phys., 93:5 (2001), 1052–1064  crossref  adsnasa  isi  scopus
    34. Zubarev N., Zubareva O., “Dynamics of the Free Surface of a Conducting Liquid in a Near-Critical Electric Field”, Tech. Phys., 46:7 (2001), 806–814  crossref  isi  scopus
    35. Rylov YA., “Hamilton's Variational Principle for a Statistical Ensemble of Deterministic Systems and its Application to an Ensemble of Stochastic Systems”, Russ. J. Math. Phys., 9:3 (2002), 335–348  mathscinet  zmath  isi
    36. Ruban V., “Current-Sheet Formation in Incompressible Electron Magnetohydrodynamics”, Phys. Rev. E, 65:4, Part 2b (2002), 047401  crossref  adsnasa  isi
    37. Dellar P., “Hamiltonian and Symmetric Hyperbolic Structures of Shallow Water Magnetohydrodynamics”, Phys. Plasmas, 9:4 (2002), 1130–1136  crossref  mathscinet  adsnasa  isi  scopus
    38. Krokhin O., Nikulin V., Tsybenko S., “On Clebsch Variables in Hydrodynamics of Classical Fluids and Plasmas”, Czech. J. Phys., 52:D (2002), 305–309  isi
    39. Dymnikov A., “General Representations of Integral Conservation Laws for Nonlinear Differential Equations”, Dokl. Math., 65:1 (2002), 123–124  zmath  isi
    40. Holm D., “Euler-Poincaré Dynamics of Perfect Complex Fluids”, Geometry, Mechanics and Dynamics: Volume in Honor of the 60th Birthday of J. E. Marsden, eds. Newton P., Holmes P., Weinstein A., Springer, 2002, 113–167  zmath  isi
    41. JETP Letters, 76:1 (2002), 53–55  mathnet  crossref
    42. Ruban V., Rasmussen J., “Toroidal Bubbles with Circulation in Ideal Hydrodynamics: a Variational Approach”, Phys. Rev. E, 68:5, Part 2 (2003), 056301  crossref  mathscinet  adsnasa  isi  scopus
    43. Ruban V., “Variational Principle for Frozen-in Vorticity Interacting with Sound Waves”, Phys. Rev. E, 68:4, Part 2 (2003), 047302  crossref  adsnasa  isi  scopus
    44. Garnier J., Cherfils-Clerouin C., Holstein P., “Statistical Analysis of Multimode Weakly Nonlinear Rayleigh-Taylor Instability in the Presence of Surface Tension”, Phys. Rev. E, 68:3, Part 2 (2003), 036401  crossref  adsnasa  isi  scopus
    45. Annenkov S., Romanova N., “Three-Wave Resonant Interaction Involving Unstable Wave Packets”, Dokl. Phys., 48:8 (2003), 441–446  mathnet  mathnet  crossref  mathscinet  adsnasa  isi  scopus
    46. Larsson J., “A Practical Form of Lagrange-Hamilton Theory for Ideal Fluids and Plasmas”, J. Plasma Phys., 69:Part 3 (2003), 211–252  crossref  adsnasa  isi
    47. Ruban V., “Applicability of the Hodograph Method for the Problem of Long-Scale Nonlinear Dynamics of a Thin Vortex Filament Near a Flat Boundary”, Phys. Rev. E, 67:6, Part 2 (2003), 066301  crossref  mathscinet  adsnasa  isi  scopus
    48. Sahraoui F., Belmont G., Rezeau L., “Hamiltonian Canonical Formulation of Hall-Magnetohydrodynamics: Toward an Application to Weak Turbulence Theory”, Phys. Plasmas, 10:5, Part 1 (2003), 1325–1337  crossref  mathscinet  adsnasa  isi  scopus
    49. Dellar P., “Dispersive Shallow Water Magnetohydrodynamics”, Phys. Plasmas, 10:3 (2003), 581–590  crossref  mathscinet  adsnasa  isi  scopus
    50. Sedletsky Y., “The Fourth-Order Nonlinear Schrodinger Equation for the Envelope of Stokes Waves on the Surface of a Finite-Depth Fluid”, J. Exp. Theor. Phys., 97:1 (2003), 180–193  crossref  adsnasa  isi  scopus
    51. Isaev L., Protogenov A., “Structures of Order Parameters in Inhomogeneous Phase States of Strongly Correlated Systems”, J. Exp. Theor. Phys., 96:6 (2003), 1140–1148  crossref  adsnasa  isi  scopus
    52. JETP Letters, 77:12 (2003), 657–661  mathnet  crossref
    53. Khomeriki R., Tkeshelashvili L., “Interaction of Noncollinear Spatial Solitons in a Nonlinear Optical Medium”, J. Opt. Soc. Am. B-Opt. Phys., 21:12 (2004), 2175–2179  crossref  adsnasa  isi  scopus
    54. Ruban V., “Water Waves Over a Strongly Undulating Bottom”, Phys. Rev. E, 70:6, Part 2 (2004), 066302  crossref  mathscinet  adsnasa  isi
    55. Hall M., “Superselection From Canonical Constraints”, J. Phys. A-Math. Gen., 37:31 (2004), 7799–7811  crossref  zmath  adsnasa  isi  scopus
    56. Kats A., “Canonical Description of Ideal Magnetohydrodynamic Flows and Integrals of Motion”, Phys. Rev. E, 69:4, Part 2 (2004), 046303  crossref  mathscinet  adsnasa  isi  scopus
    57. Kumetsov E., Passot T., Sulem P., “Compressible Dynamics of Magnetic Field Lines for Incompressible Magnetohydrodynamic Flows”, Phys. Plasmas, 11:4 (2004), 1410–1415  crossref  mathscinet  adsnasa  isi  scopus
    58. Ruban V., Senchenko S., “Local Approximation for Contour Dynamics in Effectively Two-Dimensional Ideal Electron-Magnetohydrodynamic Flows”, Phys. Scr., 69:3 (2004), 227–233  crossref  zmath  adsnasa  isi  scopus
    59. Prix R., “Variational Description of Multifluid Hydrodynamics: Uncharged Fluids”, Phys. Rev. D, 69:4 (2004), 043001  crossref  adsnasa  isi  scopus
    60. Goncharov V., Pavlov V., “Null Modes Effect in Rossby Wave Model”, Nonlinear Process Geophys., 11:3 (2004), 281–293  crossref  adsnasa  isi
    61. Ignatov A., “Vlasov Equation in Terms of Canonical Variables”, Plasma Phys. Rep., 30:1 (2004), 44–55  crossref  adsnasa  isi  scopus
    62. Kuznetsov E., “Breaking of Vortex and Magnetic Field Lines in Hydrodynamics and Mhd”, Plasmas in the Laboratory and in the Universe: New Insights and New Challenges, AIP Conference Proceedings, 703, eds. Bertin G., Farina D., Pozzoli R., Amer Inst Physics, 2004, 16–25  crossref  adsnasa  isi  scopus
    63. S. Yu. Dobrokhotov, E. S. Semenov, B. Tirozzi, “Calculation of Integrals of the Hugoniot–Maslov Chain for Singular Vortical Solutions of the Shallow-Water Equation”, Theoret. and Math. Phys., 139:1 (2004), 500–512  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    64. Romanova N., Annenkov S., “Three-Wave Resonant Interactions in Unstable Media”, J. Fluid Mech., 539 (2005), 57–91  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    65. Sedletsky Y., “The Modulational Instability of Stokes Waves on the Surface of Finite-Depth Fluid”, Phys. Lett. A, 343:4 (2005), 293–299  crossref  zmath  adsnasa  isi  elib  scopus
    66. Luque A., Schamel H., “Electrostatic Trapping as a Key to the Dynamics of Plasmas, Fluids and Other Collective Systems”, Phys. Rep.-Rev. Sec. Phys. Lett., 415:5-6 (2005), 261–359  crossref  isi  scopus
    67. Eshraghi H., Abedini Y., “A Special Class in Vanishing Helicity Ideal Flows”, J. Math. Phys., 46:4 (2005), 043102  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    68. Yakushkin I., “Lagrangian and Hamiltonian Description of Models for Geophysical Flows of Ideal Fluids”, Izv. Atmos. Ocean. Phys., 41:2 (2005), 137–144  mathscinet  isi  elib
    69. F. V. Dolzhansky, “On the mechanical prototypes of fundamental hydrodynamic invariants and slow manifolds”, Phys. Usp., 48:12 (2005), 1205–1234  mathnet  crossref  crossref  adsnasa  isi
    70. Kalashnik M.V. Ingel L.Kh., “Hydrodynamic “Memory” of Binary Fluid Mixtures”, J. Exp. Theor. Phys., 103:1 (2006), 141–149  crossref  adsnasa  isi  elib  scopus
    71. Sedletsky Yu.V., “A New Type of Modulation Instability of Stokes Waves in the Framework of an Extended Nse System with Mean Flow”, J. Phys. A-Math. Gen., 39:31 (2006), L529–L537  crossref  mathscinet  zmath  adsnasa  isi  scopus
    72. Kuznetsov E., “Vortex Line Representation for the Hydrodynamic Type Equations”, J. Nonlinear Math. Phys., 13:1 (2006), 64–80  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    73. Belmont G., Sahraoui F., Rezeau L., “Measuring and Understanding Space Turbulence”, Particle Acceleration, Space Plasma Physics, Solar Radiation and the Earth's Atmosphere and Climate, Advances in Space Research, 37, no. 8, eds. Zurbuchen T., Smart D., BlancoCano X., Lastovicka J., Elsevier Science Ltd, 2006, 1503–1515  crossref  isi  scopus
    74. E. Sh. Gutshabash, “Hydrodynamical vortice on the plain”, J. Math. Sci. (N. Y.), 143:1 (2007), 2765–2772  mathnet  crossref  mathscinet  zmath
    75. JETP Letters, 83:5 (2006), 201–205  mathnet  crossref  isi
    76. A. P. Protogenov, “Knots and links in the order parameter distributions of strongly correlated systems”, Phys. Usp., 49:7 (2006), 667–691  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    77. Romanova N.N., Yakushkin I.G., “Hamiltonian Description of Shear and Gravity Shear Waves in an Ideal Incompressible Fluid”, Izv. Atmos. Ocean. Phys., 43:5 (2007), 533–543  crossref  mathscinet  zmath  isi  elib  scopus
    78. Petnikova V.M., Shuvalov V.V., “Parametric Frequency Conversion, Nonlinear Schrodinger Equation, and Multicomponent Cnoidal Waves”, Phys. Rev. E, 76:4, Part 2 (2007), 046611  crossref  adsnasa  isi  elib  scopus
    79. Petnikova V.M., Shuvalov V.V., “Complex Periodic Solutions of the Nonlinear Schrodinger Equation and Nondegenerate Multicomponent Enoidal Waves in Parametric Frequency Conversion”, Quantum Electron., 37:6 (2007), 561–564  mathnet  crossref  adsnasa  isi  elib
    80. Petnikova V.M., Shuvalov V.V., “Nonlinear Schrodinger Equation and Multicomponent Cnoidal Waves in Parametric Frequency Conversion”, Quantum Electron., 37:3 (2007), 266–272  mathnet  crossref  adsnasa  isi  elib  scopus
    81. Agafontsev D.S., Dias F., Kuznetsov E.A., “Deep-Water Internal Solitary Waves Near Critical Density Ratio”, Physica D, 225:2 (2007), 153–168  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    82. Petnikova V.M., Shuvalov V.V., “Nonlinear Schrodinger Equation and Non-Degenerate Multi-Component Cnoidal Waves in Parametric Frequency Conversion - Art. No. 67250Q”, ICONO 2007: Nonlinear Space-Time Dynamics, Proceedings of the Society of Photo-Optical Instrumentation Engineers (SPIE), 6725, eds. Kivshar Y., Rosanov N., SPIE-Int Soc Optical Engineering, 2007, 67250Q, Q7250  crossref  isi  scopus
    83. JETP Letters, 86:8 (2007), 502–507  mathnet  crossref  isi
    84. J. Gibbon, “Orthonormal quaternion frames, Lagrangian evolution equations, and the three-dimensional Euler equations”, Russian Math. Surveys, 62:3 (2007), 535–560  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    85. E. A. Kuznetsov, D. S. Agafontsev, F. Dias, “Bifurcations of solitary waves”, Zhurn. matem. fiz., anal., geom., 4:4 (2008), 529–550  mathnet  mathscinet  zmath
    86. Gibbon J.D., “The Three-Dimensional Euler Equations: Where Do We Stand?”, Physica D, 237:14-17 (2008), 1894–1904  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    87. Radu E., Volkov M.S., “Stationary Ring Solitons in Field Theory - Knots and Vortons”, Phys. Rep.-Rev. Sec. Phys. Lett., 468:4 (2008), 101–151  crossref  isi  scopus
    88. Zubarev N.M., “Formation of Singularities on the Charged Surface of a Liquid-Helium Layer with a Finite Depth”, J. Exp. Theor. Phys., 107:4 (2008), 668–678  crossref  adsnasa  isi  elib  scopus
    89. Shivamoggi B.K., van Heijst G.J.F., “Beltrami States for Compressible Barotropic Flows”, Phys. Lett. A, 372:35 (2008), 5688–5690  crossref  zmath  adsnasa  isi  elib  scopus
    90. Yahalom A., Lynden-Bell D., “Simplified Variational Principles for Barotropic Magnetohydrodynamics”, J. Fluid Mech., 607 (2008), 235–265  crossref  mathscinet  zmath  adsnasa  isi  scopus
    91. Kuznetsov E.A., “Mixed Lagrangian-Eulerian Description of Vortical Flows for Ideal and Viscous Fluids”, J. Fluid Mech., 600 (2008), 167–180  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    92. Romanova N.N., “Resonant Interaction of Waves of Continuous and Discrete Spectra in the Simplest Model of a Stratified Shear Flow”, Izv. Atmos. Ocean. Phys., 44:1 (2008), 53–63  crossref  zmath  isi  elib
    93. Maksimov A.O., “Hamiltonian Description of Bubble Dynamics”, J. Exp. Theor. Phys., 106:2 (2008), 355–370  crossref  mathscinet  adsnasa  isi  elib
    94. V M Petnikova, Vladimir V Shuvalov, “Multicomponent cnoidal waves in cascade parametric frequency conversion”, QUANTUM ELECTRON, 38:12 (2008), 1135  mathnet  crossref  adsnasa  isi  elib  scopus
    95. A. M. Kalashnikova, A. V. Kimel, R. V. Pisarev, V. N. Gridnev, P. A. Usachev, A. Kirilyuk, Th. Rasing, “Impulsive excitation of coherent magnons and phonons by subpicosecond laser pulses in the weak ferromagnet FeBO_{3} ”, Phys Rev B, 78:10 (2008), 104301  crossref  adsnasa  isi  elib  scopus
    96. Pavlov V.I. Tromp J. Tito E.P., “Tsunami Generation by Ocean Floor Rupture Front Propagation: Hamiltonian Description”, Nat. Hazards Earth Syst. Sci., 9:1 (2009), 217–227  crossref  adsnasa  isi  elib  scopus
    97. Sokolov V.V., Tolmachev V.V., Eminov P.A., “Hamiltonian Formalism of Equations of Ferrohydrodynamics”, Dokl. Phys., 54:11 (2009), 488–490  crossref  isi  elib  scopus
    98. Peng Jin-Zhang, Yang Hong, Tang Yi, “The Similarity of Interactions Between (3+1)D Spatiotemporal Optical Solitons in Both the Dispersive Medium with Cubic-Quintic Nonlinearity and the Saturable Medium”, Chin. Phys. B, 18:6 (2009), 2364–2371  crossref  adsnasa  isi  scopus
    99. Petnikova V.M., Shuvalov V.V., “Multicomponent Cnoidal Waves in Cascade Quasisynchronous Frequency Conversion”, Phys. Rev. E, 79:2, Part 2 (2009), 026605  crossref  mathscinet  adsnasa  isi  elib  scopus
    100. Gordeev A.V., Losseva T.V., “Nonquasineutral Relativistic Current Filaments and their X-Ray Emission”, Plasma Phys. Rep., 35:2 (2009), 118–135  crossref  adsnasa  isi  elib  scopus
    101. Duenweg B., Ladd A.J.C., “Lattice Boltzmann Simulations of Soft Matter Systems”, Advanced Computer Simulation Approaches for Soft Matter Sciences III, Adv. Polym. Sci., 221, eds. Holm C., Kremer K., Springer-Verlag Berlin, 2009, 89–166  crossref  isi
    102. Yahalom A., “Simplified Variational Principles for Barotropic Magnetohydrodynamics”, Piers 2009 Beijing: Progess in Electromagnetics Research Symposium, Proceedings I and II, Progress in Electromagnetics Research Symposium, ed. Kong J., Electromagnetics Acad, 2009, 1003–1007  isi
    103. Eugene Levich, “Coherence in Turbulence: New Perspective”, Old and New Concepts of Physics, 6:3 (2009), 239  crossref  scopus
    104. JETP Letters, 89:6 (2009), 271–274  mathnet  crossref  isi
    105. M. Yu. Kovalevsky, V. T. Matskevich, A. Ya. Razumnyi, “Universality of the relaxation structure of equations for the dynamics of continuous media and dissipative Poisson brackets”, Theoret. and Math. Phys., 158:2 (2009), 233–245  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    106. Amiranashvili Sh. Demircan A., “Hamiltonian Structure of Propagation Equations for Ultrashort Optical Pulses”, Phys. Rev. A, 82:1 (2010), 013812  crossref  adsnasa  isi  elib  scopus
    107. Sokolov V.V., Fotov K.N., Eminov P.A., “The Hamilton Equations of Ferrohydrodynamics with the Landau-Lifshitz Equation for Magnetization”, Russ. Phys. J., 53:7 (2010), 732–737  crossref  zmath  isi  elib  scopus
    108. Webb G.M., Hu Q., Dasgupta B., Roberts D.A., Zank G.P., “Alfven Simple Waves: Euler Potentials and Magnetic Helicity”, Astrophys. J., 725:2 (2010), 2128–2151  crossref  adsnasa  isi  scopus
    109. Ruban V.P., “Internal Waves in a Compressible Two-Layer Model Atmosphere: Hamiltonian Description”, J. Exp. Theor. Phys., 111:5 (2010), 776–785  crossref  adsnasa  isi  elib  scopus
    110. Webb G.M., Hu Q., Dasgupta B., Zank G.P., “Homotopy Formulas for the Magnetic Vector Potential and Magnetic Helicity: the Parker Spiral Interplanetary Magnetic Field and Magnetic Flux Ropes”, J. Geophys. Res-Space Phys., 115 (2010), A10112  crossref  adsnasa  isi  scopus
    111. Zubarev N.M., Zubareva O.V., “Propagation of Large-Amplitude Waves on Dielectric Liquid Sheets in a Tangential Electric Field: Exact Solutions in Three-Dimensional Geometry”, Phys. Rev. E, 82:4, Part 2 (2010), 046301  crossref  mathscinet  adsnasa  isi  scopus
    112. Nakamura T., Bulanov S.V., Esirkepov T.Zh., Kando M., “High-Energy Ions From Near-Critical Density Plasmas via Magnetic Vortex Acceleration”, Phys. Rev. Lett., 105:13 (2010), 135002  crossref  adsnasa  isi  scopus
    113. Dutykh D., Mitsotakis D., “On the Relevance of the Dam Break Problem in the Context of Nonlinear Shallow Water Equations”, Discrete Contin. Dyn. Syst.-Ser. B, 13:4 (2010), 799–818  crossref  mathscinet  zmath  isi  elib  scopus
    114. Yahalom A., “Barotropic Magnetohydrodynamics as a Four-Function Field Theory”, EPL, 89:3 (2010), 34005  crossref  adsnasa  isi  elib  scopus
    115. Rasmussen A.R., Sorensen M.P., Gaididei Yu.B., Christiansen P.L., “Analytical and Numerical Modelling of Thermoviscous Shocks and their Interactions in Nonlinear Fluids Including Dissipation”, Progress in Industrial Mathematics at Ecmi 2008, Mathematics in Industry, 15, eds. Fitt A., Norbury J., Ockendon H., Wilson R., Springer-Verlag Berlin, 2010, 997–1002  crossref  zmath  isi
    116. S. M. Churilov, “Rezonansnoe trekhvolnovoe vzaimodeistvie voln, imeyuschikh obschii kriticheskii sloi”, Nelineinaya dinam., 7:2 (2011), 257–282  mathnet
    117. Felderhof B.U., Sokolov V.V., Eminov P.A., “Hamiltonian Field Theory of Ferrohydrodynamics”, J. Chem. Phys., 135:14 (2011), 144901  crossref  adsnasa  isi  elib  scopus
    118. Kuznetsov E.A., Dias F., “Bifurcations of Solitons and their Stability”, Phys. Rep.-Rev. Sec. Phys. Lett., 507:2-3 (2011), 43–105  crossref  isi  scopus
    119. Rassmusen A.R., Sorensen M.P., Gaididei Yu.B., Christiansen P.L., “Interacting Wave Fronts and Rarefaction Waves in a Second Order Model of Nonlinear Thermoviscous Fluids Interacting Fronts and Rarefaction Waves”, Acta Appl. Math., 115:1, SI (2011), 43–61  crossref  mathscinet  zmath  isi  elib  scopus
    120. Sokolov V.V., Fotov K.N., Eminov P.A., “The Hamiltonian Structure of Equations of Ideal Ferrohydrodynamics with Internal Rotation”, Dokl. Phys., 56:9 (2011), 467–470  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
    121. Kanakov O.I., Tikhomirov A.A., “Osobennosti yavleniya modulyatsionnoi neustoichivosti v dvumernykh reshetochnykh sistemakh”, Vestnik nizhegorodskogo universiteta im. N.I. Lobachevskogo, 2011, no. 5-3, 283–291  elib
    122. Dvornikov M., “Canonical Quantization of a Massive Weyl Field”, Found. Phys., 42:11 (2012), 1469–1479  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    123. de Guillebon L., Chandre C., “Hamiltonian Structure of Reduced Fluid Models for Plasmas Obtained From a Kinetic Description”, Phys. Lett. A, 376:45 (2012), 3172–3176  crossref  adsnasa  isi  scopus
    124. Kulkarni M., Abanov A.G., “Hydrodynamics of Cold Atomic Gases in the Limit of Weak Nonlinearity, Dispersion, and Dissipation”, Phys. Rev. A, 86:3 (2012), 033614  crossref  adsnasa  isi  elib  scopus
    125. Lakhturov I., Adytia D., van Groesen E., “Optimized Variational 1D Boussinesq Modelling for Broad-Band Waves Over Flat Bottom”, Wave Motion, 49:2 (2012), 309–322  crossref  mathscinet  zmath  isi  scopus
    126. Webb G.M., Hu Q., le Roux J.A., Dasgupta B., Zank G.P., “Hamiltonians and Variational Principles for Alfven Simple Waves”, J. Phys. A-Math. Theor., 45:2 (2012), 025203  crossref  zmath  adsnasa  isi  elib  scopus
    127. Chandre C., Morrison P.J., Tassi E., “On the Hamiltonian Formulation of Incompressible Ideal Fluids and Magnetohydrodynamics via Dirac's Theory of Constraints”, Phys. Lett. A, 376:5 (2012), 737–743  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    128. Clamond D., Dutykh D., “Practical Use of Variational Principles for Modeling Water Waves”, Physica D, 241:1 (2012), 25–36  crossref  mathscinet  zmath  adsnasa  isi  scopus
    129. Sokolov V.V., Fotov K.N., “Gamiltonova struktura uravnenii ferrogidrodinamiki s vnutrennim vrascheniem”, Vestnik MGTU Stankin, 2012, no. 4, 85–89  elib
    130. V. E. Zakharov, E. A. Kuznetsov, “Solitons and collapses: two evolution scenarios of nonlinear wave systems”, Phys. Usp., 55:6 (2012), 535–556  mathnet  crossref  crossref  adsnasa  isi  elib  elib
    131. Dvornikov M., “Pairing of Charged Particles in a Quantum Plasmoid”, J. Phys. A-Math. Theor., 46:4 (2013), 045501  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    132. A.G. Abanov, “On the effective hydrodynamics of the fractional quantum Hall effect”, J. Phys. A: Math. Theor, 46:29 (2013), 292001  crossref  mathscinet  zmath  isi  scopus
    133. C Chandre, L de Guillebon, A Back, E Tassi, P J Morrison, “On the use of projectors for Hamiltonian systems and their relationship with Dirac brackets”, J. Phys. A: Math. Theor, 46:12 (2013), 125203  crossref  zmath  adsnasa  isi  scopus
    134. R. Camassa, S. Chen, G. Falqui, G. Ortenzi, M. Pedroni, “Effects of inertia and stratification in incompressible ideal fluids: pressure imbalances by rigid confinement”, J. Fluid Mech, 726 (2013), 404  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    135. D.A.natolyevich Kovriguine, “Geometrical nonlinearity stabilizes a wave solid-state gyro”, Arch Appl Mech, 2013  crossref  isi  scopus
    136. Maxim Lyutikov, “Electron magnetohydrodynamics: Dynamics and turbulence”, Phys. Rev. E, 88:5 (2013)  crossref  isi  scopus
    137. V. A. Makarov, V. M. Petnikova, N. N. Potravkin, V. V. Shuvalov, “Particular periodic solutions to a nonintegrable system of Schrödinger nonlinear equations and their eigenvalues”, Phys. Wave Phen, 21:4 (2013), 264  crossref  isi  elib  scopus
    138. Shamima Sultana, Zillur Rahman, “Hamiltonian Formulation for Water Wave Equation”, OJFD, 03:02 (2013), 75  crossref
    139. G.M. Webb, B Dasgupta, J.F. McKenzie, Q Hu, G.P. Zank, “Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics I: Lie dragging approach”, J. Phys. A: Math. Theor, 47:9 (2014), 095501  crossref  zmath  isi  scopus
    140. G.M. Webb, B Dasgupta, J.F. McKenzie, Q Hu, G.P. Zank, “Local and nonlocal advected invariants and helicities in magnetohydrodynamics and gas dynamics: II. Noether's theorems and Casimirs”, J. Phys. A: Math. Theor, 47:9 (2014), 095502  crossref  zmath  isi  scopus
    141. R. Camassa, S. Chen, G. Falqui, G. Ortenzi, M. Pedroni, “Topological selection in stratified fluids: an example from air–water systems”, J. Fluid Mech, 743 (2014), 534  crossref  mathscinet  zmath  isi  scopus
    142. R Camassa, G Falqui, G Ortenzi, M Pedroni, “On variational formulations and conservation laws for incompressible 2D Euler fluids”, J. Phys.: Conf. Ser, 482 (2014), 012006  crossref  isi  scopus
    143. M. Frewer, M. Oberlack, V. N. Grebenev, “The Dual Stream Function Representation of an Ideal Steady Fluid Flow and its Local Geometric Structure”, Math Phys Anal Geom, 2014  crossref  mathscinet  isi  scopus
    144. M. Perin, C. Chandre, P.J. Morrison, E. Tassi, “Higher order Hamiltonian fluid reduction of Vlasov equation”, Annals of Physics, 2014  crossref  isi  scopus
    145. G. M. Webb, J. F. McKenzie, G. P. Zank, “Multi-symplectic magnetohydrodynamics”, J. Plasma Phys, 2014, 1  crossref  isi
    146. Jai Prakash, O.M.. Lavrenteva, Avinoam Nir, “Application of Clebsch variables to fluid-body interaction in presence of non-uniform vorticity”, Phys. Fluids, 26:7 (2014), 077102  crossref  isi  scopus
    147. Uriel Frisch, Barbara Villone, “Cauchy’s almost forgotten Lagrangian formulation of the Euler equation for 3D incompressible flow”, EPJ H, 2014  crossref  isi  scopus
    148. Giorgio Turchetti, Stefano Sinigardi, Pasquale Londrillo, “Maxwell-Vlasov equations for laboratory plasmas: conservation laws and approximation schemes”, Eur. Phys. J. D, 68:12 (2014)  crossref  mathscinet  isi  scopus
    149. N. M. Zubarev, E. A. Kuznetsov, “Singularity formation on a fluid interface during the Kelvin-Helmholtz instability development”, J. Exp. Theor. Phys, 119:1 (2014), 169  crossref  isi  scopus
    150. V. P. Ruban, “On slow flows of a weakly stratified relativistic fluid in a static gravitational field”, JETP Letters, 99:3 (2014), 124–128  mathnet  crossref  crossref  isi  elib  elib
    151. Sergej Moroz, Carlos Hoyos, “Effective theory of two-dimensional chiral superfluids: Gauge duality and Newton-Cartan formulation”, Phys. Rev. B, 91:6 (2015)  crossref  isi  scopus
    152. G. M. Webb, “Multi-symplectic, Lagrangian, one-dimensional gas dynamics”, J. Math. Phys, 56:5 (2015), 053101  crossref  mathscinet  zmath  isi  scopus
    153. G.M.. Monteiro, A.G.. Abanov, V. P. Nair, “Hydrodynamics with gauge anomaly: Variational principle and Hamiltonian formulation”, Phys. Rev. D, 91:12 (2015)  crossref  isi  scopus
    154. Ö D Gürcan, P.H. Diamond, “Zonal flows and pattern formation”, J. Phys. A: Math. Theor, 48:29 (2015), 293001  crossref  isi  scopus
    155. A. M. Kalashnikova, A. V. Kimel, R. V. Pisarev, “Ultrafast opto-magnetism”, Phys. Usp., 58:10 (2015), 969–980  mathnet  crossref  crossref  adsnasa  isi  elib
    156. Tanehashi K., Yoshida Z., “Gauge Symmetries and Noether Charges in Clebsch-Parameterized Magnetohydrodynamics”, J. Phys. A-Math. Theor., 48:49 (2015), 495501  crossref  mathscinet  zmath  isi  scopus
    157. Webb G.M., McKenzie J.F., Zank G.P., “Multi-Symplectic Magnetohydrodynamics: II, Addendum and Erratum”, J. Plasma Phys., 81:6 (2015), 905810610  crossref  isi  scopus
    158. Gu Y.J., Klimo O., Kumar D., Bulanov S.V., Esirkepov T.Zh., Weber S., Korn G., “Fast Magnetic Field Annihilation Driven By Two Laser Pulses in Underdense Plasma”, Phys. Plasmas, 22:10 (2015), 103113  crossref  isi  scopus
    159. Ignatov A.M., “Multiflow Approach To Plasma Kinetics”, Plasma Phys. Rep., 41:10 (2015), 783–791  crossref  isi  scopus
    160. Aseeva N.V., Gromov E.M., Tyutin V.V., “Solitons in An Extended Nonlinear Schrodinger Equation With Pseudo Stimulated Scattering and Inhomogeneous Cubic Nonlinearity”, Radiophys. Quantum Electron., 58:3 (2015), 209–215  crossref  isi  scopus
    161. Yushkov V.P., “the Hamiltonian Formalism and Quantum-Mechanical Analogy in the Probabilistic Description of Turbulence”, Mosc. Univ. Phys. Bull., 70:4 (2015), 217–225  crossref  isi  scopus
    162. Bhattarai S., “Stability of Solitary-Wave Solutions of Coupled NLS Equations With Power-Type Nonlinearities”, Adv. Nonlinear Anal., 4:2 (2015), 73–90  crossref  mathscinet  zmath  isi  scopus
    163. Gu Ya., Klimo O., Kumar D., Liu Yu., Singh S., Bulanov S.V., Esirkepov T.Zh., Weber S., Korn G., “Magnetic Reconnection Research With Petawatt-Class Lasers”, Research Using Extreme Light: Entering New Frontiers With Petawatt-Class Lasers II, Proceedings of Spie, 9515, eds. Korn G., Silva L., Spie-Int Soc Optical Engineering, 2015, 95151H  crossref  isi  scopus
    164. Webb G.M., Anco S.C., “Vorticity and Symplecticity in Multisymplectic, Lagrangian Gas Dynamics”, J. Phys. A-Math. Theor., 49:7 (2016), 075501  crossref  zmath  isi  scopus
    165. Gu Y.J., Klimo O., Kumar D., Liu Y., Singh S.K., Esirkepov T.Zh., Bulanov S.V., Weber S., Korn G., “Fast Magnetic-Field Annihilation in the Relativistic Collisionless Regime Driven By Two Ultrashort High-Intensity Laser Pulses”, Phys. Rev. E, 93:1 (2016), 013203  crossref  isi  scopus
    166. Vakhnenko O.O., “Symmetry-broken canonizations of the semi-discrete integrable nonlinear Schrödinger system with background-controlled inter-site coupling”, J. Math. Phys., 57:11 (2016), 113504  crossref  mathscinet  zmath  isi  elib  scopus
    167. Gu Y.J., Yu Q., Klimo O., Esirkepov T.Zh., Bulanov S.V., Weber S., Korn G., “Fast magnetic energy dissipation in relativistic plasma induced by high order laser modes”, High Power Laser Sci. Eng., 4 (2016), e19  crossref  isi  scopus
    168. Matsuno Y., “Hamiltonian structure for two-dimensional extended Green–Naghdi equations”, Proc. R. Soc. A-Math. Phys. Eng. Sci., 472:2190 (2016), 20160127  crossref  zmath  isi  elib  scopus
    169. Romanova N.N., Chkhetiani O.G., Yakushkin I.G., “Influence of nonlinear interactions on the development of instability in hydrodynamic wave systems”, J. Exp. Theor. Phys., 122:5 (2016), 902–914  crossref  isi  elib  scopus
    170. Grebenev V.N., Oberlack M., Megrabov A.G., Grishkov A.N., “Symmetry transformations of an ideal steady fluid flow determined by a potential function”, J. Math. Phys., 57:10 (2016), 103506  crossref  mathscinet  zmath  isi  elib  scopus
    171. Amiranashvili Sh., “Hamiltonian Framework for Short Optical Pulses”, New Approaches to Nonlinear Waves, Lecture Notes in Physics, 908, ed. Tobisch E., Springer-Verlag Berlin, 2016, 153–196  crossref  mathscinet  isi  scopus
    172. Clamond D., Dutykh D., “Modeling Water Waves Beyond Perturbations”, New Approaches to Nonlinear Waves, Lecture Notes in Physics, 908, ed. Tobisch E., Springer-Verlag Berlin, 2016, 197–210  crossref  isi  scopus
    173. Yahalon A., “Simplified variational principles for non-barotropic magnetohydrodynamics”, J. Plasma Phys., 82:2 (2016)  crossref  isi  scopus
    174. Cherubini Ch., Filippi S., “The Hamiltonian Field Theory of the Von Mises Wave Equation: Analytical and Computational Issues”, Commun. Comput. Phys., 19:3 (2016), 758–769  crossref  mathscinet  zmath  isi  elib  scopus
    175. Ludu A., Boundaries of a Complex World, Springer Series in Synergetics, Springer-Verlag Berlin, 2016, 1–361  crossref  isi
    176. Dutykh D., Clamond D., Chhay M., “Serre-type Equations in Deep Water”, Math. Model. Nat. Phenom., 12:1 (2017), 23–40  crossref  mathscinet  zmath  isi  scopus
    177. Camassa R., Falqui G., Ortenzi G., “Two-layer interfacial flows beyond the Boussinesq approximation: a Hamiltonian approach”, Nonlinearity, 30:2 (2017), 466–491  crossref  mathscinet  zmath  isi  scopus
    178. Miloshevich G., Lingam M., Morrison Ph.J., “On the structure and statistical theory of turbulence of extended magnetohydrodynamics”, New J. Phys., 19 (2017), 015007  crossref  isi  scopus
    179. Vakhnenko O.O., “Asymmetric canonicalization of the integrable nonlinear Schrödinger system on a triangular-lattice ribbon”, Appl. Math. Lett., 64 (2017), 81–86  crossref  mathscinet  zmath  isi  elib  scopus
    180. Horikis T.P., Frantzeskakis D.J., “Light Meets Water in Nonlocal Media: Surface Tension Analogue in Optics”, Phys. Rev. Lett., 118:24 (2017), 243903  crossref  isi  scopus
    181. Christov I.C., Kress T., Saxena A., “Peakompactons: Peaked Compact Nonlinear Waves”, Int. J. Mod. Phys. B, 31:10, SI (2017), 1742008  crossref  zmath  isi  elib  scopus
    182. Vakhnenko O.O., “Semi-Discrete Integrable Nonlinear Schrodinger System With Background-Controlled Inter-Site Resonant Coupling”, J. Nonlinear Math. Phys., 24:2 (2017), 250–302  crossref  mathscinet  isi  scopus
    183. Vakhnenko O.O., “Distinctive Features of the Integrable Nonlinear Schrodinger System on a Ribbon of Triangular Lattice”, Ukr. J. Phys., 62:3 (2017), 271–282  crossref  isi  scopus
    184. Yahalom A., “a Conserved Local Cross Helicity For Non-Barotropic Mhd”, Geophys. Astrophys. Fluid Dyn., 111:2 (2017), 131–137  crossref  mathscinet  isi  elib  scopus
    185. Besse N., Frisch U., “Geometric Formulation of the Cauchy Invariants For Incompressible Euler Flow in Flat and Curved Spaces”, J. Fluid Mech., 825 (2017), 412–478  crossref  mathscinet  zmath  isi  scopus
    186. Gelash A.A., L'vov V.S., Zakharov V.E., “Complete Hamiltonian Formalism For Inertial Waves in Rotating Fluids”, J. Fluid Mech., 831 (2017), 128–150  crossref  mathscinet  isi  scopus
    187. Benilov E.S., Benilov M.S., “Kinetic Approach to Condensation: Diatomic Gases With Dipolar Molecules”, Phys. Rev. E, 96:4 (2017), 042125  crossref  isi  scopus
    188. Banerjee D., Souslov A., Abanov A.G., Vitelli V., “Odd Viscosity in Chiral Active Fluids”, Nat. Commun., 8 (2017), 1573  crossref  zmath  isi  elib  scopus
    189. Sen A., “Anisotropic Wave Turbulence For Reduced Hydrodynamics With Rotationally Constrained Slow Inertial Waves”, Fluids, 2:2 (2017), 28  crossref  isi
    190. Yahalom A., “Non-Barotropic Cross-Helicity Conservation Applications in Magnetohydrodynamics and the Aharanov-Bohm Effect”, Fluid Dyn. Res., 50:1 (2018), 011406  crossref  mathscinet  isi  scopus
    191. Buffoni B., Groves M.D., Wahlen E., “A Variational Reduction and the Existence of a Fully Localised Solitary Wave For the Three-Dimensional Water-Wave Problem With Weak Surface Tension”, Arch. Ration. Mech. Anal., 228:3 (2018), 773–820  crossref  mathscinet  zmath  isi  scopus
    192. Vakhnenko O.O., “Integrable Nonlinear Schrodinger System on a Lattice With Three Structural Elements in the Unit Cell”, J. Math. Phys., 59:5 (2018), 053504  crossref  mathscinet  zmath  isi  scopus
    193. Vakhnenko O.O., “Six-Component Semi-Discrete Integrable Nonlinear Schrodinger System”, Lett. Math. Phys., 108:8 (2018), 1807–1824  crossref  mathscinet  zmath  isi  scopus
    194. Shen L.Q., Zhou L.F., Shi J.Y., Tang M., Zheng Z., Wu D., Zhou S.M., Chen L.Y., Zhao H.B., “Dominant Role of Inverse Cotton-Mouton Effect in Ultrafast Stimulation of Magnetization Precession in Undoped Yttrium Iron Garnet Films By 400-Nm Laser Pulses”, Phys. Rev. B, 97:22 (2018), 224430  crossref  isi  scopus
    195. Nemaura T., “Derived Wave of Gradient Driven Diffusion'S Convective Flux of Efavirenz”, J. Phys. Commun., 2:5 (2018), UNSP 055008  crossref  isi
    196. Campolina C.S., Mailybaev A.A., “Chaotic Blowup in the 3D Incompressible Euler Equations on a Logarithmic Lattice”, Phys. Rev. Lett., 121:6 (2018), 064501  crossref  isi  scopus
    197. Vedenyapin V.V., Kazakova T.S., Kisselevskaya-Babinina V.Ya., Chetverushkin B.N., “Schrodinger Equation as a Self-Consistent Field”, Dokl. Math., 97:3 (2018), 240–242  crossref  isi  scopus
    198. Vedenyapin V.V., Andreeva A.A., Vorobyeva V.V., “Euler and Navier–Stokes Equations as Self-Consistent Fields”, Dokl. Math., 97:3 (2018), 283–285  crossref  isi  scopus
    199. A. A. Abrashkin, E. N. Pelinovsky, “On the relation between Stokes drift and the Gerstner wave”, Phys. Usp., 61:3 (2018), 307–312  mathnet  crossref  crossref  adsnasa  isi  elib
    200. Luong H., Mauser N.J., Saut J.-C., “On the Cauchy Problem For the Zakharov-Rubenchik/ Benney-Roskes System”, Commun. Pure Appl. Anal, 17:4, SI (2018), 1573–1594  crossref  isi  scopus
    201. Webb G., “Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws”, Magnetohydrodynamics and Fluid Dynamics: Action Principles and Conservation Laws, Lecture Notes in Physics, 946, Springer International Publishing Ag, 2018, 1–301  crossref  isi
    202. V. V. Vedenyapin, N. N. Fimin, V. M. Chechetkin, “Ob uravnenii Vlasova–Maksvella–Einshteina i ego nerelyativistskikh i slaborelyativistskikh analogakh”, Preprinty IPM im. M. V. Keldysha, 2018, 265, 30 pp.  mathnet  crossref
    203. Krafft C., Volokitin A.S., “Whistler Envelope Solitons. i. Dynamics in Inhomogeneous Plasmas”, Phys. Plasmas, 25:10 (2018), 102301  crossref  isi  scopus
    204. Kopiev V.F. Chernyshev S.A., “Methods of the Lagrangian and Hamiltonian Mechanics in Aeroacoustics Problems”, Acoust. Phys., 64:6 (2018), 707–717  crossref  isi  scopus
    205. V. V. Vedenyapin, N. I. Karavaeva, O. A. Kostyuk, B. N. Chetverushkin, “Uravnenie Shredingera kak sledstvie novykh uravnenii tipa Vlasova”, Preprinty IPM im. M. V. Keldysha, 2019, 026, 11 pp.  mathnet  crossref
    206. McKeever B.F., Rodrigues D.R., Pinna D., Abanov A., Sinova J., Everschor-Sitte K., “Characterizing Breathing Dynamics of Magnetic Skyrmions and Antiskyrmions Within the Hamiltonian Formalism”, Phys. Rev. B, 99:5 (2019), 054430  crossref  isi  scopus
    207. Abrashkin A., “Generalization of Cauchy Invariants For Equatorial Beta-Plane Flows”, Deep-Sea Res. Part II-Top. Stud. Oceanogr., 160:SI (2019), 3–6  crossref  isi  scopus
    208. Abrashkin A., “Large Oceanic Gyres: Lagrangian Description”, J. Math. Fluid Mech., 21:2 (2019), UNSP 25  crossref  isi  scopus
    209. Dyachenko I A., Lushnikov P.M., Zakharov V.E., “Non-Canonical Hamiltonian Structure and Poisson Bracket For Two-Dimensional Hydrodynamics With Free Surface”, J. Fluid Mech., 869 (2019), PII S0022112019002192, 526–552  crossref  isi  scopus
    210. Abanov A.G., Monteiro G.M., “Free-Surface Variational Principle For An Incompressible Fluid With Odd Viscosity”, Phys. Rev. Lett., 122:15 (2019), 154501  crossref  isi  scopus
  • Успехи физических наук Physics-Uspekhi
    Number of views:
    This page:455
    Full text:167
    First page:1

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019