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Works cited by this work

41 works

Work: Интегрирование уравнения Хироты с коэффициентами, зависящими от времени

  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. The Exact Solution of the Modified Korteweg-de Vries Equation

    Miki Wadati

    Article197234 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. On Integration of Korteweg–de Vries Equation in a Class of Rapidly Decreasing Complex-Valued Functions

    А. Б. Хасанов, U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsRussian Mathematics201818 citations
    ABI

  6. Hamiltonian Methods in the Theory of Solitons

    L. D. Faddeev, Leon A. Takhtajan

    Book198717 citations
    ABI

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

    Ryogo Hirota

    Article197314 citations
    ABI

  8. 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

  9. 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

  10. Integration of the Loaded KdV Equation with a Self-Consistent Source of Integral Type in the Class of Rapidly Decreasing Complex-Valued Functions

    U. A. Hoitmetov

    ArticleNonlinear Waves and SolitonsSiberian Advances in Mathematics20227 citations
    ABI

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

    Abdul–Majid Wazwaz

    Article20187 citations
    ABI

  12. Integration of the Matrix Modified Korteweg-de Vries Equation with an Integral-Type Source

    G. U. Urazboev, U. A. Xoitmetov, A. K. Babadjanova

    ArticleNonlinear Waves and SolitonsTheoretical and Mathematical Physics20207 citations
    ABI

  13. An integrable shallow water equation with peaked solitons

    Roberto Camassa, Darryl D. Holm

    Article19937 citations
    ABI

  14. Exact solutions of the modified Korteweg-de Vries equation

    F. Demontis

    Article20117 citations
    ABI

  15. The Direct Method in Soliton Theory

    Ryogo Hirota

    Book20046 citations
    ABI

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

    Yongsheng Tao, Jingsong He

    Article20126 citations
    ABI

  17. Exact solutions to the modified Korteweg-de Vries equation

    Francesco Demontis

    Article20166 citations
    ABI

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

    U. A. Hoitmetov

    Article20226 citations
    ABI

  19. 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

  20. Integration of the general loaded Korteweg-de Vries equation with an integral type source in the class of rapidly decreasing complex-valued functions

    Aknazar Bekdurdiyevich Khasanov, U. A. Hoitmetov

    Article20215 citations
    ABI

  21. Интегрирование матричного модифицированного уравнения Кортевега-де Фриза с источником интегрального типа

    G. U. Urazboev, U. A. Hoitmetov, A. K. Babadjanova

    ArticleMilitary Technology and StrategiesТеоретическая и математическая физика20204 citations
    ABI

  22. Rogue waves and rational solutions of the Hirota equation

    Adrian Ankiewicz, J. M. Soto‐Crespo, Nail Akhmediev

    Article20104 citations
    ABI

  23. Optical solitons with quadratic–cubic nonlinearity and fractional temporal evolution

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

    Article20184 citations
    ABI

  24. Review of numerical methods for NumILPT with computational accuracy assessment for fractional calculus

    Dariusz W. Brzeziński

    Article20184 citations
    ABI

  25. The Hirota equation: Darboux transform of the Riemann–Hilbert problem and higher-order rogue waves

    Shuyan Chen, Zhenya Yan

    Article20194 citations
    ABI