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Works cited by this work

48 works

Work: Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions

  1. Method for Solving the Korteweg-deVries Equation

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

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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

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

    Miki Wadati

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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

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  8. Method for Solving the Sine-Gordon Equation

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

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

    А. Б. Хасанов, U. A. Hoitmetov

    Article202125 citations
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  12. Instability zones of periodic 1-dimensional Schrödinger and Dirac operators

    Plamen Djakov, Boris Mityagin

    Article200625 citations
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  13. Hill's operator and hyperelliptic function theory in the presence of infinitely many branch points

    H. P. McKean, Eugene Trubowitz

    Article197624 citations
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  14. 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
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  15. Sturm—Liouville and Dirac Operators

    B. M. Levitan, I. S. Sargsjan

    Book199120 citations
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  16. Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe: Bestimmung der Differentialgleichung durch die Eigenwerte

    G.J.A. Borg

    Article194619 citations
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  17. On the inverse problem for Hill's operator

    H. Flaschka

    Article197518 citations
    ABI

  18. 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
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  19. 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
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  20. Inverse Sturm-Liouville Problems

    B. M. Levitan

    Book198717 citations
    ABI

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

    Evgeny Korotyaev, Dmitrii Mokeev

    Article202016 citations
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  22. Gaps of one dimensional periodic AKNS systems

    Benoît Grébert, Jean‐Claude Guillot

    Article199315 citations
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  23. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
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  24. Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, T. G. Khasanov

    ArticleNonlinear Waves and SolitonsJournal of Mathematical Sciences202414 citations
    ABI

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

    Ryogo Hirota

    Article197314 citations
    ABI