Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations

  • Authors

    • K. M. Abdul Al Woadud Uttara University, Dhaka, Bangladesh.
    • Md. Jahirul Islam Uttara University, Dhaka, Bangladesh.
    • Aminur Rahman Khan Uttara University, Dhaka, Bangladesh.
    2022-02-20
    https://doi.org/10.14419/ijpr.v10i1.31912
  • (2 1)-Dimensional Cubic Klein-Gordon Equation, (3 1)-Dimensional Zakharov–Kuznetsov Equation, Modified Kudryashov Method,

  • Abstract

    The exact solutions of nonlinear evolution equations (NLEEs) play a vital role to reveal the central mechanism of complex physical phe-nomenon. More precisely, in this paper, we acquired new exact solutions to the (2+1)-dimensional cubic Klein–Gordon (cKG) and (3+1)-dimensional Zakharov–Kuznetsov (ZK) equations by using the modified Kudraysov method. As results, a portion of the new accurate voyaging wave answers for the situations above is officially delivered. All arrangements are plotted in the perspective on three-dimensional (3D) and two-dimensional (2D) line shape through the MATLAB programming for exploring the genuine meaning of the concentrated on conditions. The periodic type of solution is created using a modified Kudryashov approach, which is distinct from the other methods investigated.

     

     

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  • How to Cite

    M. Abdul Al Woadud, K., Jahirul Islam, M., & Rahman Khan, A. (2022). Modified Kudryashov method and its applications to the (2+1)-dimensional cubic Klein-Gordon and (3+1)- dimensional Zakharov-Kuznetsov equations. International Journal of Physical Research, 10(1), 39-44. https://doi.org/10.14419/ijpr.v10i1.31912

    Received date: 2022-01-03

    Accepted date: 2022-02-02

    Published date: 2022-02-20