Title: 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.