Lie Symmetries and Exact Solutions of Some Nonlinear Partial Differential Equations

Abstract

The Objective of thesis entitled, Lie Symmetries and Exact Solutions of Some Nonlinear Partial Differential Equations, is to obtain the Lie symmetries and the exact solutions of nonlinear partial differential equations PDEs or their systems which represent some of important physical phenomena The nonlinear phenomena are encountered in a variety of situations in physics as well as in other natural and applied sciences Most of these phenomena are governed by nonlinear partial differential equations The study of these systems of differential equations is often regarded as a difficult and confusing endeavor due various limitations posed by the intrinsic nonlinearity Consequently, it is not uncommon to see in literature the treatment of these system based on perturbation, asymptotic and numerical methods to obtain approximate solutions of these equations But these solutions however, fail to render much information about the system newline