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arXiv · 0907.4858

A symmetry classification for a class of (2+1)-nonlinear wave equation

Mehdi Nadjafikhah·Rohollah Bakhshandeh-Chamazkoti·Ali Mahdipour-Shirayeh
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Abstract

In this paper, a symmetry classification of a $(2+1)$-nonlinear wave equation $u_{tt}-f(u)(u_{xx}+u_{yy})=0$ where $f(u)$ is a smooth function on $u$, using Lie group method, is given. The basic infinitesimal method for calculating symmetry groups is presented, and used to determine the general symmetry group of this $(2+1)$-nonlinear wave equation.

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Mehdi Nadjafikhah, Rohollah Bakhshandeh-Chamazkoti, Ali Mahdipour-Shirayeh. 2009-07-28. A symmetry classification for a class of (2+1)-nonlinear wave equation. https://doi.org/10.1016/j.na.2009.03.087

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