New (G′/G)-expansion method and its application to the Zakharov-Kuznetsov–Benjamin-Bona-Mahony (ZK–BBM) equation

Abstract

In this article, new (G0/G)-expansion method is used to look for the traveling wave solutions of nonlinear evolution equations and abundant traveling wave solutions to the Zakharov-Kuznetsov–Benjamin-Bona-Mahony equation are constructed. The performance of the method is reliable, useful and gives more new general exact solutions than the existing methods.