Similarity Analysis of Differential Equations By Lie Group Technique

Abstract

The goal of similarity transformation method is to provide the solution for differential equations by using Lie group technique. However higher order differential equations are going to be reduced to a lower order. For partial differential equation at least a reduction in the number of independent variables is sought and in favorable cases it reduces to ordinary differential equation with special solution [4]. Also we investigated completely the Similarity analysis of 2nd order differential equations.