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Works cited by this work

30 works

Work: Integration of the Korteweg–de Vries Equation with Time-Dependent Coefficients in the Case of Moving Eigenvalues of the Sturm–Liouville Operator

  1. Method for Solving the Korteweg-deVries Equation

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

    Article196758 citations
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Article196848 citations
    ABI

  3. Solution of an initial-boundary value problem for coupled nonlinear waves

    J. León, A. Latifi

    Article199032 citations
    ABI

  4. On Integration of the Loaded mKdV Equation in the Class of Rapidly Decreasing Functions

    А. Б. Хасанов, U. A. Hoitmetov

    Article202125 citations
    ABI

  5. Integration method of the Korteweg-de Vries equation with a self-consistent source

    V. K. Mel’nikov

    Article198825 citations
    ABI

  6. 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

  7. Solitons and the Inverse Scattering Transform

    Mark J. Ablowitz, Harvey Segur

    Book198121 citations
    ABI

  8. Integration of the Korteweg-de Vries equation with a source

    V. K. Mel’nikov

    Article199020 citations
    ABI

  9. Nonlinear resonant scattering and plasma instability: an integrable model

    C. Claude, A. Latifi, J. Mustre de León

    Article199117 citations
    ABI

  10. Solitons and Nonlinear Wave Equations

    R. K. Dodd, Hedley Morris, J. C. Eilbeck +1

    Book198217 citations
    ABI

  11. Integration of the soliton hierarchy with self-consistent sources

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Article200014 citations
    ABI

  12. 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

  13. 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

  14. Elements of Soliton Theory

    Colin Wilkin

    Article19819 citations
    ABI

  15. Sturm-Liouville operators and their applications

    V. А. Marchenko

    Article19778 citations
    ABI

  16. Multiple complex soliton solutions for integrable negative-order KdV and integrable negative-order modified KdV equations

    Abdul–Majid Wazwaz

    Article20187 citations
    ABI

  17. Solitons and other solutions of (3 + 1)-dimensional space–time fractional modified KdV–Zakharov–Kuznetsov equation

    Khalil S. Al-Ghafri, Hadi Rezazadeh

    Article20195 citations
    ABI

  18. Propagation of nonlinear waves in a gas-liquid medium. Exact and approximate analytical solutions of wave equations

    A. A. Lugovtsov

    Article20105 citations
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  19. Propagation of nonlinear waves in an inhomogeneous gas-liquid medium. Derivation of wave equations in the Korteweg-de Vries approximation

    A. A. Lugovtsov

    Article20094 citations
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  20. Optical solitons with quadratic–cubic nonlinearity and fractional temporal evolution

    Kalim U. Tariq, Muhammad Younis, Hadi Rezazadeh +2

    Article20184 citations
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  21. Review of numerical methods for NumILPT with computational accuracy assessment for fractional calculus

    Dariusz W. Brzeziński

    Article20184 citations
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  22. One-soliton shaping and inelastic collision between double solitons in the fifth-order variable-coefficient Sawada–Kotera equation

    M.S. Osman

    Article20194 citations
    ABI

  23. New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications

    Dianchen Lu, Kalim U. Tariq, M.S. Osman +3

    Article20194 citations
    ABI

  24. A (2+1)-dimensional time-dependent Date–Jimbo–Kashiwara–Miwa equation: Painlevé integrability and multiple soliton solutions

    Abdul–Majid Wazwaz

    Article20194 citations
    ABI

  25. Investigation of soliton solutions with different wave structures to the (2 + 1)-dimensional Heisenberg ferromagnetic spin chain equation

    M.S. Osman, Kalim U. Tariq, Ahmet Bekir +4

    Article20204 citations
    ABI