Exact traveling wave solutions of nonlinear variable-coefficients evolution equations with forced terms using the generalized ( G′/G)-expansion method

Abstract

The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized (G′/G)-expansion method. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. When these parameters are taken special values, the solitary wave solutions are derived from the hyperbolic function solutions. It is shown that the proposed method is direct, effective and can be applied to many other nonlinear evolution equations in the mathematical physics.