Simple equation method for nonlinear partial differential equations and its applications

Benson, Temitope O.; Nofal, Taher A.

doi:10.1016/j.joems.2015.05.006

Simple equation method for nonlinear partial differential equations and its applications

Authors

Temitope O. Benson ¹
Taher A. Nofal ²^{, 3}

¹ Institute for omputational and Data Sciences, University at Bufalo, State University of New York, Albany, USA.

² Department of Mathematics and Statistics, Faculty of Science, Taif University, Taif, Saudi Arabia

³ Mathematics Department, Faculty of Science, Minia University, Minia, Egypt

10.1016/j.joems.2015.05.006

Abstract

In this article, we focus on the exact solution of the some nonlinear partial differential
equations (NLPDEs) such as, Kodomtsev–Petviashvili (KP) equation, the (2 + 1)-dimensional break-
ing soliton equation and the modified generalized Vakhnenko equation by using the simple equation
method. In the simple equation method the trial condition is the Bernoulli equation or the Riccati
equation. It has been shown that the method provides a powerful mathematical tool for solving nonlinear
wave equations in mathematical physics and engineering problems

Keywords