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Works cited by this work

29 works

Work: The Nonlinear Schrödinger Equation 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. 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

  3. 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

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

    A. O. Smirnov

    Article199527 citations
    ABI

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

    V. K. Mel’nikov

    Article199121 citations
    ABI

  6. Sturm—Liouville and Dirac Operators

    B. M. Levitan, I. S. Sargsjan

    Book199120 citations
    ABI

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

    Junkichi Satsuma, Nobuo Yajima

    Article197417 citations
    ABI

  8. Hamiltonian Methods in the Theory of Solitons

    L. D. Faddeev, Leon A. Takhtajan

    Book198717 citations
    ABI

  9. Solitons and Nonlinear Wave Equations

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

    Book198217 citations
    ABI

  10. Theory of Solitons: The Inverse Scattering Method

    Сергей Петрович Новиков

    Book198415 citations
    ABI

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

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Article200014 citations
    ABI

  12. Integration of the nonlinear Schrodinger equation with a source

    V. K. Mel’nikov

    Article199211 citations
    ABI

  13. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book19869 citations
    ABI

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

    A. O. Smirnov

    Article19966 citations
    ABI

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

    V. B. Matveev, Mikhail Yavor

    Article19796 citations
    ABI

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

    Yijun Shao, Yunbo Zeng

    Article20055 citations
    ABI

  17. Exact integration of nonlinear Schrödinger equation

    A. R. Its, A. V. Rybin, M. A. Sall'

    Article19884 citations
    ABI

  18. Algebrogeometric solutions of a boundary-value problem for the nonlinear Schr�dinger equation

    R. F. Bikbaev, A. R. Its

    Article19894 citations
    ABI

  19. On the complete integrability of a nonlinear Schrödinger equation

    В. Е. Захаров, S. V. Manakov

    Article19744 citations
    ABI

  20. Sturm–liouville and dirac operators

    Article19924 citations
    ABI

  21. Interaction between solitons in a stable medium

    В. Е. Захаров, A. B. Shabat

    Article19734 citations
    ABI

  22. SOLUTIONS OF NONLINEAR EQUATIONS INTEGRABLE IN JACOBI THETA FUNCTIONS BY THE METHOD OF THE INVERSE PROBLEM, AND SYMMETRIES OF ALGEBRAIC CURVES

    M. V. Babich, Alexander I. Bobenko, V. B. Matveev

    Article19863 citations
    ABI

  23. Algebraic-geometric principles of superposition of finite-zone solutions of integrable non-linear equations

    E. D. Belokolos, Alexander I. Bobenko, V. B. Matveev +1

    Article19863 citations
    ABI

  24. Modulation instability of solutions of the nonlinear Schrödinger equation

    G. L. Alfimov, A. R. Its, N. E. Kulagin

    Article19903 citations
    ABI

  25. Exact first-order solutions of the nonlinear Schrödinger equation

    Nail Akhmediev, V. M. Eleonskiǐ, N. E. Kulagin

    Article19873 citations
    ABI