Solitary wave solutions Zakharov–Kuznetsov–Benjamin–Bona–Mahony (ZK–BBM) equation

Abstract

In this paper, exp-function method is used to construct generalized solitary solutions of the Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation. It is shown that the exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool to solve such nonlinear equations.The performance of the method is reliable, efficient and it gives useful exact solutions.

Keywords

• Exp-function method
• Solitary solution
• Zakharov–Kuznetsov–Benjamin–Bona–Mahony equation