Applications of Lie Classical Method to Some Nonlinear Partial Differential Equations

Abstract

The objective of the thesis entitled, “Applications of Lie Classical Method 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 the 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.