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Works cited by this work

27 works

Work: Integration of a Nonlinear Korteweg–de Vries Equation with a Loaded Term and a Source

  1. Method for Solving the Korteweg-deVries Equation

    Clifford S. Gardner, J. M. Greene, Martin D. Kruskal +1

    Article196758 citations
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

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

    P. G. Grinevich, I. A. Taĭmanov

    Other200839 citations
    ABI

  4. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

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

    J. León, A. Latifi

    Article199032 citations
    ABI

  6. 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

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

    A. O. Smirnov

    Article199527 citations
    ABI

  8. Schrödinger operators with finite-gap spectrum and N-soliton solutions of the Korteweg-de Vries equation

    A. R. Its, V. B. Matveev

    Article197525 citations
    ABI

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

    V. K. Mel’nikov

    Article198825 citations
    ABI

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

    V. K. Mel’nikov

    Article199020 citations
    ABI

  11. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte

    G.J.A. Borg

    Article194619 citations
    ABI

  12. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  13. 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

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

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

    Article199117 citations
    ABI

  15. Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

    Boris Dubrovin

    Article197514 citations
    ABI

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

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Article200014 citations
    ABI

  17. A generalization of Borg's inverse theorem for Hill's equations

    Harry Hochstadt

    Article198412 citations
    ABI

  18. The spectrum of Hill's equation

    H. P. McKean, Pierre van Moerbeke

    Article197511 citations
    ABI

  19. Inverse Sturm–Liouville Problems

    Manfred Möller, Vyacheslav Pivovarchik

    Chapter20158 citations
    ABI

  20. On the determination of a Hill's equation from its spectrum

    Harry Hochstadt

    Article19657 citations
    ABI

  21. Meromorphic extension of solutions of soliton equations

    A. V. Domrin

    Article20105 citations
    ABI

  22. Propagation of nonlinear waves in a gas-liquid medium. Exact and approximate analytical solutions of wave equations

    A. A. Lugovtsov

    Article20105 citations
    ABI

  23. Propagation of nonlinear waves in an inhomogeneous gas-liquid medium. Derivation of wave equations in the Korteweg-de Vries approximation

    A. A. Lugovtsov

    Article20094 citations
    ABI

  24. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book20114 citations
    ABI

  25. Estimates of the stability intervals for Hill’s equation

    Harry Hochstadt

    Article19633 citations
    ABI