Travelling wave solutions of the Burgers–Huxley equation

In this paper, we are concerned with the generalized Burgers–Huxley equation by means of the Lie symmetry method. We apply the Lie symmetry method to derive the linearized symmetry condition. Through analysing the associated determining system, we find two non-trivial infinitesimal generators, and obtain bounded travelling wave solutions by solving the reduced differential equation under certain parametric conditions.