| In this thesis, we briefly present the theory of the Lie symmetry method, then apply it to the study of the generalized Burgers-Huxley equation. Through analyzing the linearized symmetry condition and the associated determining system, we find two nontrivial infinitesimal generators, and obtain exact solutions by solving the reduced differential equation under certain parametric conditions. An approximate solution of the generalized Burgers-Huxley equation is described by means of the Adomian decomposition method. Numerical simulations are also presented. |
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