Symmetry analysis and soliton solution of (2+1)- dimensional Zoomeron equation

Abstract: Traveling wave solutions of (2 + 1)-dimensional Zoomeron equation(ZE) are developed in terms of exponential functions involving free parameters. It is shown that the novel Lie group of transformations method is a competent and prominent tool in solving nonlinear partial differential equations(PDEs) in mathematical physics. The similarity transformation method(STM) is applied first on (2 + 1)-dimensional ZE to find the infinitesimal generators. Discussing the different cases on these infinitesimal generators, STM reduce (2 + 1)-dimensional ZE into (1 + 1)-dimensional PDEs, later it reduces these PDEs into various ordinary differential equations(ODEs) and help to find exact solutions of (2 + 1)-dimensional ZE.