Conservation laws for variable coefficient nonlinear wave equations with power nonlinearities

doi:10.1088/1674-1056/20/7/070202

Abstract Conservation laws for a class of variable coefficient nonlinear wave equations with power nonlinearities are investigated. The usual equivalence group and the generalized extended one including transformations which are nonlocal with respect to arbitrary elements are introduced. Then, using the most direct method, we carry out a classification of local conservation laws with characteristics of zero order for the equation under consideration up to equivalence relations generated by the generalized extended equivalence group. The equivalence with respect to this group and the correct choice of gauge coefficients of the equations play the major roles for simple and clear formulation of the final results.

Keywords: nonlinear wave equations conservation laws equivalence group symmetries

Received: 03 August 2010
Revised: 04 February 2011
Accepted manuscript online:

PACS:	02.20.Sv	(Lie algebras of Lie groups)
	02.30.Jr	(Partial differential equations)

Cite this article:

Huang Ding-Jiang(黄定江), Zhou Shui-Geng(周水庚), and Yang Qin-Min(杨勤民) Conservation laws for variable coefficient nonlinear wave equations with power nonlinearities 2011 Chin. Phys. B 20 070202

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