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Работы, на которые ссылается эта работа

Работ: 30

Работа: 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

    Статья1967Цитирований: 58
    ABI

  2. Integrals of nonlinear equations of evolution and solitary waves

    Peter D. Lax

    Статья1968Цитирований: 48
    ABI

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

    J. León, A. Latifi

    Статья1990Цитирований: 32
    ABI

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

    А. Б. Хасанов, U. A. Hoitmetov

    Статья2021Цитирований: 25
    ABI

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

    V. K. Mel’nikov

    Статья1988Цитирований: 25
    ABI

  6. Integration of the nonlinear Korteweg–de Vries equation with an additional term

    А. Б. Хасанов, M. M. Matyakubov

    СтатьяNonlinear Waves and SolitonsTheoretical and Mathematical Physics2020Цитирований: 23
    ABI

  7. Solitons and the Inverse Scattering Transform

    Mark J. Ablowitz, Harvey Segur

    Книга1981Цитирований: 21
    ABI

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

    V. K. Mel’nikov

    Статья1990Цитирований: 20
    ABI

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

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

    Статья1991Цитирований: 17
    ABI

  10. Solitons and Nonlinear Wave Equations

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

    Книга1982Цитирований: 17
    ABI

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

    Yunbo Zeng, Wen‐Xiu Ma, Runliang Lin

    Статья2000Цитирований: 14
    ABI

  12. Cauchy Problem for the Korteweg–De Vries Equation in the Class of Periodic Infinite-Gap Functions

    А. Б. Хасанов, T. G. Khasanov

    СтатьяNonlinear Waves and SolitonsJournal of Mathematical Sciences2024Цитирований: 14
    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

    СтатьяElectromagnetic Simulation and Numerical MethodsProceedings of the Institute of Mathematics and Mechanics National Academy of Sciences of Azerbaijan2021Цитирований: 13
    ABI

  14. Elements of Soliton Theory

    Colin Wilkin

    Статья1981Цитирований: 9
    ABI

  15. Sturm-Liouville operators and their applications

    V. А. Marchenko

    Статья1977Цитирований: 8
    ABI

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

    Abdul–Majid Wazwaz

    Статья2018Цитирований: 7
    ABI

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

    Khalil S. Al-Ghafri, Hadi Rezazadeh

    Статья2019Цитирований: 5
    ABI

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

    A. A. Lugovtsov

    Статья2010Цитирований: 5
    ABI

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

    A. A. Lugovtsov

    Статья2009Цитирований: 4
    ABI

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

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

    Статья2018Цитирований: 4
    ABI

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

    Dariusz W. Brzeziński

    Статья2018Цитирований: 4
    ABI

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

    M.S. Osman

    Статья2019Цитирований: 4
    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

    Статья2019Цитирований: 4
    ABI

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

    Abdul–Majid Wazwaz

    Статья2019Цитирований: 4
    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

    Статья2020Цитирований: 4
    ABI