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