New solitary wave solution for inhomogeneous Burgers-Fisher equation using a family of modified tanh-like method

Abstract

The homogeneous Burgers-Fisher (BF) equation is a nonlinear partial differential equation that de- scribes convection, diffusion, and reaction mechanisms found in many physical phenomena. The exact analytical solutions are obtained by employing a variety of ansatz methods. However, when BF is inhomogeneous many of these ansatz are not useful. Thus, we report a modified form of the tangent hyperbolic-function ansatz for application to inhomogeneous Burgers-Fisher (IBF). We obtain a new solitary wave solution of the kink-type for the IBF equation with a forced function.