General solution of the generalized burger-fisher equation using the improved ( / ) g’ g -expansion method.

Abstract

The main purpose of this study was to construct more general solution and to find some new exact traveling wave solutions of the Generalized Burger-Fisher's equation. To achieve this purpose, the improved G G     -expansion method was proposed to construct more general solution and exact traveling wave solutions of Burger-Fisher's equation .As a result, more general solution was constructed with free parameters as compared to the solution obtained in the existing literature Abdollah Boharfani and Reza Abazari [3]; moreover, some exact traveling wave solutions in terms of hyperbolic, trigonometric and rational functions were found which were not obtained in the work of Abdollah Boharfani and Reza Abazari [3]. The study outlined that the improved G G     -expansion method is very effective, simple and a powerful mathematical tool for finding exact traveling wave solutions of the Generalized BurgerFisher's equation. Therefore, it was concluded that the proposed method can be applied to find exact traveling wave solutions of nonlinear partial differential equations (which are nonlinear evolution equations) which can arise in physics, engineering science, and other related areas.