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Works cited by this work

58 works

Work: Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions

  1. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
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  2. 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
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  3. Exact envelope-soliton solutions of a nonlinear wave equation

    Ryogo Hirota

    Article197314 citations
    ABI

  4. 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

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

    Evgeny Korotyaev

    Article200513 citations
    ABI

  6. 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
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  7. Remarks on the local version of the inverse scattering method

    A. V. Domrin

    Article200612 citations
    ABI

  8. PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

    Boris Dubrovin, S P Novikov

    Article197411 citations
    ABI

  9. 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
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  10. 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
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  11. 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

  12. On the Inverse Problem for a Quadratic Pencil of Sturm-Liouville Operators with Periodic Potential

    B. A. Babadzhanov, А. Б. Хасанов, A. B. Yakhshimuratov

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations200510 citations
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  13. Hill’s surfaces and their theta functions

    H. P. McKean, Eugene Trubowitz

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  14. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book19869 citations
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  15. Foliation of phase space for the cubic nonlinear Schrödinger equation

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  16. Integration Of A Higher-Order Nonlinear SchröDinger System with a Self-Consistent Source in the Class of Periodic Functions

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

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

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

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

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

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  21. Real-analytic solutions of the nonlinear Schrödinger equation

    A. V. Domrin

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  22. Multisolitons, breathers, and rogue waves for the Hirota equation generated by the Darboux transformation

    Yongsheng Tao, Jingsong He

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  23. Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: General analysis and simplest examples

    V. B. Matveev, A. O. Smirnov

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

    С. П. Попов

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

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