LIE SYMMETRY REDUCTION FOR HUXLEY EQUATION

Abstract

In this paper, Huxley equation which is in the form of second-order nonlinear partial differential equation is transformed to an ordinary differential equation by using Lie symmetry analysis. The procedure of transformation is based on reducing the number of independent variables in partial differential equation by one by using the infinitesimal generator. After calculating invariants by solving the characteristic system and designate one of the invariant as a function of the other, Huxley equation can be written in the form of the ordinary differential equation.