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 describes 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.
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