Application of the rational (G` /G)-expansion method for solving some coupled and combined wave equations

Authors : Mustafa EKİCİ, Metin ÜNAL

Pages : 116-132

Doi:10.31801/cfsuasmas.884025

View : 13 | Download : 10

Publication Date : 2022-03-30

Article Type : Research Paper

Abstract :In this paper, we explore the travelling wave solutions for some nonlinear partial differential equations by using the recently established rational insert ignore into journalissuearticles values(G` /G);-expansion method. We apply this method to the combined KdV-mKdV equation, the reaction-diffusion equation and the coupled Hirota-Satsuma KdV equations. The travelling wave solutions are expressed by hyperbolic functions, trigonometric functions and rational functions. When the parameters are taken as special values, the solitary waves are also derived from the travelling waves. We have also given some figures for the solutions.
Keywords : the rational G` G, expansion method, travelling wave solution, the combined KdV mKdV equation, the reaction diffusion equation, the coupled Hirota Satsuma KdV equations