Exp-function method for solving the Burgers-Fisher equation with variable coefficients

TL;DR

This paper applies the exp-function method, aided by symbolic computation, to find generalized traveling wave solutions of a variable-coefficient Burgers-Fisher equation, demonstrating its effectiveness for nonlinear evolution equations.

Contribution

It introduces the exp-function method combined with symbolic computation as a new approach for solving variable-coefficient nonlinear equations.

Findings

Successfully obtained generalized traveling wave solutions

Demonstrated the method's effectiveness for nonlinear equations with variable coefficients

Provided a straightforward computational approach

Abstract

In this paper, the exp-function method with the aid of symbolic computational system is used to obtain generalized travelling wave solutions of a Burgers-Fisher equation with variable coefficients. It is shown that the exp-function method, with the help of symbolic computation, provides a straightforward and powerful mathematical tool to solve the nonlinear evolution equation with variable coefficients in mathematical physics.