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Works cited by this work

40 works

Work: Integration Of A Higher-Order Nonlinear SchröDinger System with a Self-Consistent Source in the Class of Periodic Functions

  1. Spectral conservation laws for periodic nonlinear equations of the Melnikov type

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

  2. Solution of an initial-boundary value problem for coupled nonlinear waves

    J. León, A. Latifi

    Article199032 citations
    ABI

  3. Exact Theory of Two-dimensional Self-focusing and One-dimensional Self-modulation of Waves in Nonlinear Media

    В. Е. Захаров, A. B. Shabat

    Article197030 citations
    ABI

  4. Untitled

    Other29 citations
    ABI

  5. The Korteweg-de Vries equation with a self-consistent source in the class of periodic functions

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201027 citations
    ABI

  6. ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

    A. O. Smirnov

    Article199527 citations
    ABI

  7. Integration method of the Korteweg-de Vries equation with a self-consistent source

    V. K. Mel’nikov

    Article198825 citations
    ABI

  8. Integration of the nonlinear Schroedinger equation with a self-consistent source

    V. K. Mel’nikov

    Article199121 citations
    ABI

  9. Sturm—Liouville and Dirac Operators

    B. M. Levitan, I. S. Sargsjan

    Book199120 citations
    ABI

  10. Integration of the Korteweg-de Vries equation with a source

    V. K. Mel’nikov

    Article199020 citations
    ABI

  11. B. Initial Value Problems of One-Dimensional Self-Modulation of Nonlinear Waves in Dispersive Media

    Junkichi Satsuma, Nobuo Yajima

    Article197417 citations
    ABI

  12. The Nonlinear Schrödinger Equation with a Self-consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov

    ArticleNonlinear Waves and SolitonsMathematical Physics Analysis and Geometry201117 citations
    ABI

  13. Nonlinear resonant scattering and plasma instability: an integrable model

    C. Claude, A. Latifi, J. Mustre de León

    Article199117 citations
    ABI

  14. Solitons and Nonlinear Wave Equations

    R. K. Dodd, Hedley Morris, J. C. Eilbeck +1

    Book198217 citations
    ABI

  15. A direct method for deriving a multi-soliton solution for the problem of interaction of waves on thex,y plane

    V. K. Mel’nikov

    Article198716 citations
    ABI

  16. Integration of the soliton hierarchy with self-consistent sources

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Article200014 citations
    ABI

  17. On the periodic Toda lattice hierarchy with an integral source

    Bazar Babajanov, Mičhal Fĕckan, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsCommunications in Nonlinear Science and Numerical Simulation201712 citations
    ABI

  18. Modified Manakov system with self-consistent source

    V. S. Shchesnovich, E. V. Doktorov

    Article199612 citations
    ABI

  19. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book19869 citations
    ABI

  20. Untitled

    Other8 citations
    ABI

  21. Untitled

    Other7 citations
    ABI

  22. The elliptic-in-t solutions of the nonlinear Schrödinger equation

    A. O. Smirnov

    Article19966 citations
    ABI

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

    V. B. Matveev, Mikhail Yavor

    Article19796 citations
    ABI

  24. The solutions of the NLS equations with self-consistent sources

    Yijun Shao, Yunbo Zeng

    Article20055 citations
    ABI

  25. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book20114 citations
    ABI