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Works cited by this work

22 works

Work: Integration of the Nonlinear Schrfinger Equation with an Additional Term in the Class of Periodic Functions

  1. Method for Solving the Korteweg-deVries Equation

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

    Article196758 citations
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  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
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  4. The Exact Solution of the Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197234 citations
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  5. 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

  6. Method for Solving the Sine-Gordon Equation

    Mark J. Ablowitz, D. J. Kaup, Alan C. Newell +1

    Article197328 citations
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  7. 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

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

    A. O. Smirnov

    Article199527 citations
    ABI

  9. 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

  10. Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

  11. On Integration of Korteweg–de Vries Equation in a Class of Rapidly Decreasing Complex-Valued Functions

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsRussian Mathematics201818 citations
    ABI

  12. On the sine-Gordon equation with a self-consistent source corresponding to multiple eigenvalues

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsDifferential Equations200717 citations
    ABI

  13. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
    ABI

  14. 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

  15. Integration of a loaded Korteweg-de Vries equation in a class of periodic functions

    A. B. Yakhshimuratov, M. M. Matyokubov

    ArticleNonlinear Waves and SolitonsRussian Mathematics201613 citations
    ABI

  16. Integration of the sine-Gordon equation with a self-consistent source of the integral type in the case of multiple eigenvalues

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsRussian Mathematics200912 citations
    ABI

  17. PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

    Boris Dubrovin, S P Novikov

    Article197411 citations
    ABI

  18. Periodic solutions of the KdV equation

    Peter D. Lax

    Article197510 citations
    ABI

  19. Inverse Sturm–Liouville Problems

    Manfred Möller, Vyacheslav Pivovarchik

    Chapter20158 citations
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  20. Sturm-Liouville operators and their applications

    V. А. Marchenko

    Article19778 citations
    ABI

  21. Properties of the 𝑆-matrix of the one-dimensional Schrödinger equation

    L. D. Faddeev

    Other19675 citations
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  22. Geometry, topology, and mathematical physics : S.P. Novikov's seminar: 2002-2003

    Victor Matveevich Buchstaber, I. M. Krichever

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