Traveling Wave Solutions by using Extended Tanh Function Method with special values

Abstract

The Extended hyperbolic tangent (tanh) method is proposed for building more general exact solutions of the nonlinear evolution equations, Burgers equation and KdV equation. As a result of this, when the equation parameters are taken as special values, we find more general exact solution for traveling wave, which include solitary wave solutions. In this work that the extended tanh method give some new and more general results which are very simple, flexible and faster to compute by general mathematical software, like Maple and Mathematica. The results obtained were compared with tanh method.