Modified simple equation method to the nonlinear Hirota Satsuma KdV system
Authors
E.M.E.Zayed , Khaled A. Gepreel and M. M. El-Horbaty
Abstract
In this article, we use the modified simple equation method to construct the exact traveling wave
solutions for some nonlinear PDE's in mathematical physics namely the coupled Hirota \u2013 Satsuma KdV
equations and the generalized coupled Hirota \u2013 Satsuma KdV equations. Based on this formulation, solitary
solutions can be easily obtained by using the proposed method. Some known solutions obtained by the tanh-
coth method are recovered as special cases. The proposed method is direct and more powerful than the other
methods.
