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Works cited by this work

40 works

Work: Asymptotic soliton train solutions of Kaup–Boussinesq equations

  1. Quantum Mechanics

    Albert Messiah

    Book196122 citations
    ABI

  2. <i>Linear and Nonlinear Waves</i>

    G. B. Whitham, Richard Fowler

    Article197513 citations
    ABI

  3. A Higher-Order Water-Wave Equation and the Method for Solving It

    D. J. Kaup

    Article19757 citations
    ABI

  4. Solutions presque périodiques et a N-solitons de l'équation hydrodynamique non linéaire de Kaup

    V. B. Matveev, Mikhail Yavor

    Article19796 citations
    ABI

  5. Nonlinear Periodic Waves and their Modulations - An Introductory Course

    A. M. Kamchatnov

    Book20005 citations
    ABI

  6. Some remarks on a WKB method for the nonselfadjoint Zakharov–Shabat eigenvalue problem with analytic potentials and fast phase

    Peter D. Miller

    Article20013 citations
    ABI

  7. Semiclassical eigenvalue distribution of the Zakharov-Shabat eigenvalue problem

    Jared C. Bronski

    Article19963 citations
    ABI

  8. An asymptotic solution of the Korteweg-De Vries equation

    V. I. Karpman

    Article19673 citations
    ABI

  9. Nonlinear Periodic Waves and Their Modulations

    A M Kamchatnov

    Book20002 citations
    ABI

  10. Nonlinear Schrödinger equation and the bogolyubov-whitham method of averaging

    M. V. Pavlov

    Article19872 citations
    ABI

  11. The semiclassical limit of the defocusing NLS hierarchy

    Shan Jin, C. David Levermore, David W. McLaughlin

    Article19992 citations
    ABI

  12. Oscillations of the zero dispersion limit of the korteweg‐de vries equation

    Fei Ran Tian

    Article19932 citations
    ABI

  13. The Whitham Equations for Optical Communications: Mathematical Theory of NRZ

    Yuji Kodama

    Article19992 citations
    ABI

  14. Untitled

    Other2 citations
    ABI

  15. On the Whitham equations for the semiclassical limit of the defocusing nonlinear Schr�dinger equation

    Fei Tian, Jian Ye

    Article19992 citations
    ABI

  16. Spectral instability of the semiclassical Zakharov–Shabat eigenvalue problem

    Jared C. Bronski

    Article20012 citations
    ABI

  17. Korteweg–de vries zero dispersion limit: Through first breaking for cubic‐like analytic initial data

    Otis C. Wright

    Article19932 citations
    ABI

  18. On asymptotic solutions of integrable wave equations

    A. M. Kamchatnov, R. A. Kraenkel, Bakhram Umarov

    ArticleNonlinear Waves and SolitonsPhysics Letters A20012 citations
    ABI

  19. Algebro-geometric construction of self-similar solutions of the Whitham equations

    Геннадий Владимирович Потeмин

    Article19882 citations
    ABI

  20. Numerical simulation of the semi-classical limit of the focusing nonlinear Schrödinger equation

    Jared C. Bronski, J. Nathan Kutz

    Article19992 citations
    ABI

  21. Periodic solutions and Whitham equations for the Heisenberg continuous classical spin model

    A. M. Kamchatnov

    Article19922 citations
    ABI

  22. Modulational instability and formation of a nonlinear oscillatory structure in a “focusing” medium

    G. A. Él, A. Gurevich, V.V. Khodorovskiǐ +1

    Article19932 citations
    ABI

  23. Integrable Shallow‐Water Equations and Undular Bores

    G. A. Él, Roger Grimshaw, M. V. Pavlov

    Article20012 citations
    ABI

  24. On the semiclassical limit of the focusing nonlinear Schrödinger equation

    Peter D. Miller, Spyridon Kamvissis

    Article19982 citations
    ABI

  25. Untitled

    Other1 citations
    ABI