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Works cited by this work

28 works

Work: The Cauchy Problem for the Defocusing Nonlinear Schrödinger Equation with a Loaded Term

  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
    ABI

  4. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
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  5. The Exact Solution of the Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197234 citations
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  6. Untitled

    Other29 citations
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  7. Method for Solving the Sine-Gordon Equation

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

    Article197328 citations
    ABI

  8. 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

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

    A. O. Smirnov

    Article199527 citations
    ABI

  10. 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

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

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

  12. Integration of the nonlinear Korteweg–de Vries equation with an additional term

    А. Б. Хасанов, M. M. Matyakubov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202023 citations
    ABI

  13. Inverse problem on the half-line for the Sturm-Liouville operator with periodic potential

    А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations201521 citations
    ABI

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

    G.J.A. Borg

    Article194619 citations
    ABI

  15. 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

  16. 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

  17. On the sine-Gordon equation with a self-consistent source

    А. Б. Хасанов, G. U. Urazboev

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics200914 citations
    ABI

  18. 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

  19. Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line

    B. A. Babazhanov, А. Б. Хасанов

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations200712 citations
    ABI

  20. Remarks on the local version of the inverse scattering method

    A. V. Domrin

    Article200612 citations
    ABI

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

    Boris Dubrovin, S P Novikov

    Article197411 citations
    ABI

  22. Integration of mKdV Equation with a Self-Consistent Source in the Class of Finite Density Functions in the Case of Moving Eigenvalues

    K. A. Mamedov

    ArticleNonlinear Waves and SolitonsRussian Mathematics20209 citations
    ABI

  23. Real-analytic solutions of the nonlinear Schrödinger equation

    A. V. Domrin

    Article20147 citations
    ABI

  24. Estimation of the Cauchy function for finite-zone nonperiodic potentials

    B. M. Levitan, А. Б. Хасанов

    Article19927 citations
    ABI

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

    A. O. Smirnov

    Article19966 citations
    ABI