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Works cited by this work

26 works

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

  1. The inverse problem for periodic potentials

    Eugene Trubowitz

    Article197737 citations
    ABI

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

    Miki Wadati

    Article197234 citations
    ABI

  3. Untitled

    Other29 citations
    ABI

  4. Method for Solving the Sine-Gordon Equation

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

    Article197328 citations
    ABI

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

    А. Б. Хасанов, T. Zh. Allanazarova

    ArticleNonlinear Waves and SolitonsUkrainian Mathematical Journal202226 citations
    ABI

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

    Plamen Djakov, Boris Mityagin

    Article200625 citations
    ABI

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

    H. P. McKean, Eugene Trubowitz

    Article197624 citations
    ABI

  8. 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

  9. 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

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

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics202220 citations
    ABI

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

    Evgeny Korotyaev, Dmitrii Mokeev

    Article202016 citations
    ABI

  12. 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

  13. Theory of Solitons: The Inverse Scattering Method

    Сергей Петрович Новиков

    Book198415 citations
    ABI

  14. Gaps of one dimensional periodic AKNS systems

    Benoît Grébert, Jean‐Claude Guillot

    Article199315 citations
    ABI

  15. 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

  16. Inverse problem and estimates for periodic Zakharov-Shabat systems

    Evgeny Korotyaev

    Article200513 citations
    ABI

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

    A. V. Domrin

    Article200612 citations
    ABI

  18. The Cauchy Problem for the Defocusing Nonlinear Schrödinger Equation with a Loaded Term

    Ulugbek Muminov, А. Б. Хасанов

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics202210 citations
    ABI

  19. Hill’s surfaces and their theta functions

    H. P. McKean, Eugene Trubowitz

    Article19789 citations
    ABI

  20. <i>N</i>-soliton solutions for the integrable modified KdV-sine-Gordon equation

    Abdul–Majid Wazwaz

    Article20148 citations
    ABI

  21. Integrable systems and Riemann surfaces of infinite genus

    Martin Schmidt

    Article19967 citations
    ABI

  22. Real-analytic solutions of the nonlinear Schrödinger equation

    A. V. Domrin

    Article20147 citations
    ABI

  23. Real two-zone solutions of the sine-Gordon equation

    Boris Dubrovin, S. M. Natanzon

    Article19825 citations
    ABI

  24. 3-Elliptic solutions of the sine-Gordon equation

    A. O. Smirnov

    Article19973 citations
    ABI

  25. Untitled

    Other3 citations
    ABI