Mathematical studies on generalized Burgers Huxley equation and its singularly perturbed form:  Existence of traveling wave solutions .

Abstract We focus on a class of generalized Burgers Huxley equation and its singularly perturbed form, which has significant impacts on practical applications. The existence of different traveling wave solutions is established. Numerical examples are provided to provide more intuitive illustrations of our analytical results. Our analysis is based on the combination of geometric singular perturbation theory,invariant manifold theory and bifurcation theory.