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Works cited by this work

55 works

Work: Integration of a non-linear Hirota type equation with additional terms

  1. 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

  2. 30 years of finite-gap integration theory

    V. B. Matveev

    Article200715 citations
    ABI

  3. Periodic problems for the Korteweg — de Vries equation in the class of finite band potentials

    Boris Dubrovin

    Article197514 citations
    ABI

  4. 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

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

    Ryogo Hirota

    Article197314 citations
    ABI

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

    A. V. Domrin

    Article200612 citations
    ABI

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

    Boris Dubrovin, S P Novikov

    Article197411 citations
    ABI

  8. 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

  9. Integration of a Nonlinear Hirota Type Equation with Finite Density in the Class of Periodic Functions

    А. Б. Хасанов, Raykhonbek Khubaydullo ugli Eshbekov, Kh. N. Normurodov

    ArticleNonlinear Waves and SolitonsLobachevskii Journal of Mathematics202310 citations
    ABI

  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
    ABI

  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
    ABI

  13. The inverse scattering problem on a half-line with a non-seleconjugate potential matrix

    Л. П. Нижник, Fam Loi Wu

    Article19759 citations
    ABI

  14. Sturm-Liouville Operators and Applications

    V. А. Marchenko

    Book19869 citations
    ABI

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

    A. B. Yakhshimuratov

    ArticleDifferential Equations and Numerical MethodsTheoretical and Mathematical Physics20209 citations
    ABI

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

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

    Article20029 citations
    ABI

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

    Kimiaki Konno, Wataru Kameyama, Heiji Sanuki

    Article19749 citations
    ABI

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

    Abdul–Majid Wazwaz

    Article20148 citations
    ABI

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

    V. B. Matveev, A. O. Smirnov

    Article20198 citations
    ABI

  20. Integration of the Modified Korteweg–de Vries–Liouville Equation in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, U. O. Khudayorov

    ArticleSpectral Theory in Mathematical PhysicsMathematical Notes20237 citations
    ABI

  21. Instability Zones of a Periodic 1D Dirac Operator and Smoothness of its Potential

    Plamen Djakov, Boris Mityagin

    Article20057 citations
    ABI

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

    Man Jia, Ji Lin, Sen Yue Lou

    Article20207 citations
    ABI

  23. Cauchy Problem for the Nonlinear Liouville Equation in the Class of Periodic Infinite-Gap Functions

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

    ArticleDifferential Equations and Numerical MethodsDifferential Equations20236 citations
    ABI

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

    V. B. Matveev, A. O. Smirnov

    Article20206 citations
    ABI

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

    С. П. Попов

    Article20156 citations
    ABI