Application of He’s Exp-function method and semi-inverse variational principle to equal width wave (EW) and modified equal width wave (MEW) equations

Abstract

In this paper, more recent method, called the Exp-function, is used to find generalized solutions of the important soliton equations which is called equal width wave (EW) and modified equal width wave (MEW) equations. It is shown that the Exp-function method with the help of symbolic computation provides a straight forward and powerful mathematical tool for solving other nonlinear evolution equations arising in mathematical physics. Additionally, this paper studies the EW/MEW equation by the aid of He’s semi-inverse variational principle.   AMS codes: 78A60, 37K10, 35Q51, 35Q55.   Key words: Exp- function method; semi-inverse variational principle; equal width wave (EW), modified equal width wave (MEW) equations.