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Works cited by this work

40 works

Work: Integration of the Kaup–Boussinesq system via inverse scattering method

  1. Method for Solving the Korteweg-deVries Equation

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

    Article196758 citations
    ABI

  2. Inverse problem for a quadratic pencil of Sturm-Liouville operators with finite-gap periodic potential on the half-line

    B. A. Babazhanov, А. Б. Хасанов

    ArticleSpectral Theory in Mathematical PhysicsDifferential Equations200712 citations
    ABI

  3. The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations

    Bazar Babajanov, Fakhriddin Abdikarimov

    ArticleNonlinear Waves and SolitonsFrontiers in Applied Mathematics and Statistics202211 citations
    ABI

  4. On Complex-Valued Solutions of the General Loaded Korteweg–de Vries Equation with a Source

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsDifferential Equations202211 citations
    ABI

  5. Integration of equations of Kaup system kind with self-consistent source in class of periodic functions

    A. B. Yakhshimuratov, Bazar Babajanov

    ArticleNonlinear Waves and SolitonsUfimskii Matematicheskii Zhurnal202010 citations
    ABI

  6. 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

  7. New exact soliton and periodic wave solutions of the nonlinear fractional evolution equations with additional term

    Bazar Babajanov, Fakhriddin Abdikarimov

    ArticleFractional Differential Equations SolutionsPartial Differential Equations in Applied Mathematics20237 citations
    ABI

  8. A Higher-Order Water-Wave Equation and the Method for Solving It

    D. J. Kaup

    Article19757 citations
    ABI

  9. Untitled

    Other7 citations
    ABI

  10. Solutions presque périodiques et a N-solitons de l'équation hydrodynamique non linéaire de Kaup

    V. B. Matveev, Mikhail Yavor

    Article19796 citations
    ABI

  11. Nonlinear evolution equations associated with ?enegry-dependent Schr�dinger potentials?

    M. Jaulent, I. Miodek

    Article19766 citations
    ABI

  12. INTEGRATION OF THE LOADED GENERAL KORTEWEG-DE VRIES EQUATION IN TNE CLASS OF RAPIDLY DECREASING COMPLEX-VALUED FUNCTIONS

    U. A. Hoitmetov

    Article20226 citations
    ABI

  13. Real finite-gap regular solutions of the Kaup-Boussinesq equation

    A. O. Smirnov

    Article19865 citations
    ABI

  14. On the Construction and Integration of a Hierarchy for the Kaup System with a Self-Consistent Source in the Class of Periodic Functions

    A. B. Yakhshimuratov, Thomas Kriecherbauer, Bazar Babajanov

    Article20215 citations
    ABI

  15. On the Cauchy Problem for the mKdV–Sine-Gordon Equation with an Additional Term

    U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsActa Applicandae Mathematicae20234 citations
    ABI

  16. The generalized KaupߝBoussinesq equation: multiple soliton solutions

    Abdul–Majid Wazwaz

    Article20154 citations
    ABI

  17. Integrable Models for Shallow Water with Energy Dependent Spectral Problems

    Rossen Ivanov, Tony Lyons

    Article20124 citations
    ABI

  18. Invariant solutions and conservation laws of the generalized Kaup–Boussinesq equation

    Cheng Chen, Yao‐Lin Jiang

    Article20174 citations
    ABI

  19. Solitary-wave solutions to a dual equation of the Kaup–Boussinesq system

    Jiangbo Zhou, Lixin Tian, Xinghua Fan

    Article20094 citations
    ABI

  20. Integrable Models for Shallow Water With Energy Dependent Spectral Problems

    Ivanov, Rossen, Lyons, Tony

    Article20124 citations
    ABI

  21. Integration of the sine-Gordon equation with a source and an additional term

    U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsReports on Mathematical Physics20223 citations
    ABI

  22. Integration of the Kaup–Boussinesq system with time-dependent coefficients

    Bazar Babajanov, A. Sh. Azamatov, Rukhiya Babazhanovna Atajanova

    ArticleAdvanced Mathematical Physics ProblemsTheoretical and Mathematical Physics20233 citations
    ABI

  23. Energy dependent scattering theory

    D. H. Sattinger, Jacek Szmigielski

    Article19953 citations
    ABI

  24. Integration of the finite complex Toda lattice with a self-consistent source

    Bazar Babajanov, Murod Ruzmetov, Sh.O. Sadullaev

    Article20233 citations
    ABI

  25. Integration of the Kaup–Boussinesq system with a self-consistent source via inverse scattering method

    Babajanov B.A., Azamatov A.Sh.

    ArticleSpectral Theory in Mathematical PhysicsVestnik Udmurtskogo Universiteta Matematika Mekhanika Komp yuternye Nauki20222 citations
    ABI