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    Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation

    Received 03 December 2021

    2022, Vol. 18, no. 2, pp.  203-215

    Author(s): González-Gaxiola O., León-Ramírez A., Chacón-Acosta G.

    Recently, motivated by the interest in the problems of nonlinear dynamics of cylindrical shells, A. I. Zemlyanukhin et al. (Nonlinear Dyn, 98, 185–194, 2019) established the so-called Schamel – Kawahara equation (SKE). The SKE generalizes the well-known nonlinear Schamel equation that arises in plasma physics problems, by adding the high-order dispersive terms from the Kawahara equation. This article presents families of new solutions to the Schamel – Kawahara model using the Kudryashov method. By performing the symbolic computation, we show that this method is a valuable and efficient mathematical tool for solving application problems modeled by nonlinear partial differential equations (NPDE).
    Keywords: Schamel – Kawahara equation, Kudryashov method, exact solutions, nonlinear PDE
    Citation: González-Gaxiola O., León-Ramírez A., Chacón-Acosta G., Application of the Kudryashov Method for Finding Exact Solutions of the Schamel – Kawahara Equation, Rus. J. Nonlin. Dyn., 2022, Vol. 18, no. 2, pp.  203-215
    DOI:10.20537/nd220204


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