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

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

2009-07-28

arxiv.org/abs/0907.4858v2

Nonlinear Analysis: Theory, Methods & Applications 71 (2009) 5164-5169

Mathematics

Differential Geometry

Scientific paper

10.1016/j.na.2009.03.087

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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