Symmetry Reductions of (2+1)-dimensional Modified Equal Width Wave Equation with Damping Term by Lie Classical Method

Abstract

In this paper, we are consider a (2+1)-dimensional Modified Equal Width Wave equation with damping term is $u_t + u + u^{3}u_x -\mu(u_{xxt} + u_{yyt})=0$, subjected to Lie classical method. Classification of its symmetry algebra into one- and two-dimensional subalgebras is carried out in order to facilitate its reduction systematically to (1+1)-dimensional PDE and then to first order ODE.