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Works cited by this work

46 works

Work: Integration of a nonlinear sine-Gordon–Liouville-type equation 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
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

  3. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 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. Untitled

    Other29 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. ELLIPTIC SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION AND THE MODIFIED KORTEWEG-DE VRIES EQUATION

    A. O. Smirnov

    Article199527 citations
    ABI

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

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

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

    А. Б. Хасанов, U. A. Hoitmetov

    Article202125 citations
    ABI

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

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

  11. Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

    H. P. McKean, Eugene Trubowitz

    Article197624 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. 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

  15. Integration of a defocusing nonlinear Schrödinger equation with additional terms

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202220 citations
    ABI

  16. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  17. Almost Periodic Solutions of the KdV Equation

    Peter D. Lax

    Article197618 citations
    ABI

  18. 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

  19. 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

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

    Evgeny Korotyaev, Dmitrii Mokeev

    Article202016 citations
    ABI

  21. 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

  22. Integrating the modified Korteweg–de Vries– sine-Gordon equation in the class of periodic infinite-gap functions

    А. Б. Хасанов, Kh. N. Normurodov, U. O. Khudaerov

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202315 citations
    ABI

  23. Gaps of one dimensional periodic AKNS systems

    Benoît Grébert, Jean‐Claude Guillot

    Article199315 citations
    ABI

  24. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
    ABI

  25. Exact envelope-soliton solutions of a nonlinear wave equation

    Ryogo Hirota

    Article197314 citations
    ABI