Symmetry analysis and soliton solution of (2+1)- dimensional Zoomeron equation
Analysis of PDEs
2017-01-24 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1701.05499,
title = {Symmetry analysis and soliton solution of (2+1)- dimensional Zoomeron equation},
author = {Vishakha Jadaun and Sachin Kumar and Yogeeta Garg},
journal= {arXiv preprint arXiv:1701.05499},
year = {2017}
}
Comments
09 Pages