A novel modified simple equation method and its application to some nonlinear evolution equation systems

Abstract

In this paper, the modified simple equation (MSE) method is used to construct exact solutions of the nonlinear Drinfeld-Sokolov system, Maccari system and Coupled Higgs equation in applied mathematics and mathematical physics. The exact solutions obtained by the proposed method indicate that the approach is easy to implement and computationally very attractive. Also we can see that when the parameters are assigned special values, solitary wave solutions can be obtained from the exact solutions. All calculations in this study have been made with the aid of the Maple packet program.