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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. 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

  2. ON INTEGRATION OF THE LOADED KORTEWEG-DE VRIES EQUATION IN THE CLASS OF RAPIDLY DECREASING FUNCTIONS

    Aknazar Hasanov, U. A. Hoitmetov, L Faddeev +24

    ArticleElectromagnetic Simulation and Numerical MethodsProceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan202113 citations
    ABI

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

    Evgeny Korotyaev

    Article200513 citations
    ABI

  4. Integration of a Nonlinear Korteweg–de Vries Equation with a Loaded Term and a Source

    А. Б. Хасанов, T. G. Khasanov

    ArticleNonlinear Waves and SolitonsJournal of Applied and Industrial Mathematics202212 citations
    ABI

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

    A. V. Domrin

    Article200612 citations
    ABI

  6. Asymptotic behavior of Weyel-Titchmarsh m-function in the case of the Dirac system

    Arthur A. Danielyan, B. M. Levitan, А. Б. Хасанов

    Article199111 citations
    ABI

  7. 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

  8. Solutions of the Ablowitz–Kaup–Newell–Segur hierarchy equations of the “rogue wave” type: A unified approach

    V. B. Matveev, A. O. Smirnov

    Article201610 citations
    ABI

  9. Hill’s surfaces and their theta functions

    H. P. McKean, Eugene Trubowitz

    Article19789 citations
    ABI

  10. Foliation of phase space for the cubic nonlinear Schrödinger equation

    D. Bättig, Benoît Grébert, J. C. Guillot +1

    Article19939 citations
    ABI

  11. The Novel Multi-Soliton Solutions of the MKdV–Sine Gordon Equations

    Deng-yuan Chen, Da‐jun Zhang, Shu-fang Deng

    Article20029 citations
    ABI

  12. Effect of Weak Dislocation Potential on Nonlinear Wave Propagation in Anharmonic Crystal

    Kimiaki Konno, Wataru Kameyama, Heiji Sanuki

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    ABI

  13. Integration of equation of Toda periodic chain kind

    Bazar Babajanov, А. Б. Хасанов

    Article20179 citations
    ABI

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

    Abdul–Majid Wazwaz

    Article20148 citations
    ABI

  15. Two-Phase Periodic Solutions to the AKNS Hierarchy Equations

    V. B. Matveev, A. O. Smirnov

    Article20198 citations
    ABI

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

    B. M. Levitan, А. Б. Хасанов

    Article19927 citations
    ABI

  17. Soliton and breather molecules in few-cycle-pulse optical model

    Man Jia, Ji Lin, Sen Yue Lou

    Article20207 citations
    ABI

  18. Numerical analysis of soliton solutions of the modified Korteweg-de Vries-sine-Gordon equation

    С. П. Попов

    Article20156 citations
    ABI

  19. Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation

    С. П. Попов

    Article20156 citations
    ABI

  20. Nonautonomous soliton solutions of the modified Korteweg–de Vries–sine-Gordon equation

    С. П. Попов

    Article20166 citations
    ABI

  21. ALMOST PERIODICITY OF INFINITE-ZONE POTENTIALS

    B. M. Levitan

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    ABI