Traveling wave behavior for a generalized fisher equation

There is the widespread existence of wave phenomena in physics, chemistry and biology. This clearly necessitates a study of traveling waves in depth and of the modeling and analysis involved. In the present paper, we study a nonlinear reaction-diffusion equation, which can be regarded as a generalized Fisher equation. Applying the Cole–Hopf transformation and the first integral method, we obtain a class of traveling solitary wave solutions for this generalized Fisher equation.