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Works cited by this work

49 works

Work: The Cauchy Problem for the Nonlinear Complex Modified Korteweg-de Vries Equation with Additional Terms in the Class of Periodic Infinite-Gap 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
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  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 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. 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
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  7. Untitled

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

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

    Article197328 citations
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  9. ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

    A. O. Smirnov

    Article199527 citations
    ABI

  10. On the Modified Korteweg–De-Vries Equation with Loaded Term

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

  11. 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

  12. On Integration of the Loaded mKdV Equation in the Class of Rapidly Decreasing Functions

    А. Б. Хасанов, U. A. Hoitmetov

    Article202125 citations
    ABI

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

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

  14. 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

  15. 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

  16. Integration of the Nonlinear Schrfinger Equation with an Additional Term in the Class of Periodic Functions

    Aknazar Hasanov, Mahir Hasanov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics201921 citations
    ABI

  17. Sturm—Liouville and Dirac Operators

    B. M. Levitan, I. S. Sargsjan

    Book199120 citations
    ABI

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

    G.J.A. Borg

    Article194619 citations
    ABI

  19. 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

  20. Integration of the General Loaded Korteweg–de Vries Equation with an Integral Type Source in the Class of Rapidly Decreasing Complex-Valued Functions

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsRussian Mathematics202118 citations
    ABI

  21. 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

  22. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
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  23. Hamiltonian Methods in the Theory of Solitons

    L. D. Faddeev, Leon A. Takhtajan

    Book198717 citations
    ABI

  24. Dubrovin equation for periodic Dirac operator on the half-line

    Evgeny Korotyaev, Dmitrii Mokeev

    Article202016 citations
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  25. Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions

    G. Mannonov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsSt Petersburg Mathematical Journal202316 citations
    ABI