New Solutions to Generalized Kadomtsev Petviashvili-Benjamin-Bona-Mahony and Generalized Zakharov Kuznetsov-Benjamin Bona Mahony-Joseph Egri Equation

Abstract

In this paper, we present a new models of Kadomtsev-Petviashvili and Benjamin-Bona-Mahony (KP-BBM) equation, namely, a generalized of (KP-BBM) and Zakharov Kuznetsov-Benjamin Bona Mahony-Joseph Egri  equation, namely, a  generalized of  (ZK-BBM-JE). We apply the sin-cosine method  to solve them.

Exact travelling wave solutions are obtained and expressed in terms of hyperbolic functions and trigonometric functions.