Exact Solutions of Three Nonlinear Systems via Exp-Function Method

Abstract

In this paper, the exp-function method is used to exactly solve three nonlinear partial differential systems, i.e., the (4+1)-dimensional Fokas equation, the variable-coefficient Burger’s equation and the variable-coefficient Benjamin-Bona-Mahony (BBM) equation. As a result, three exact solutions are obtained. It is shown that the exp-function method is a useful mathematical tool for solving some other high-dimensional nonlinear partial differential equations (PDEs) and variable-coefficient nonlinear PDEs.