A new method to obtain approximate symmetry of nonlinear evolution equation from perturbations

doi:10.1088/1674-1056/18/7/002

Abstract

Abstract A novel method for obtaining the approximate symmetry of a partial differential equation with a small parameter is introduced. By expanding the independent variable and the dependent variable in the small parameter series, we obtain more affluent approximate symmetries. The method is applied to two perturbed nonlinear partial differential equations and new approximate solutions are derived.

Keywords: approximate symmetry approximate solutions expansion perturbed equation

Received: 09 October 2008
Revised: 17 November 2008
Accepted manuscript online:

PACS:	02.30.Jr	(Partial differential equations)
	02.20.Qs	(General properties, structure, and representation of Lie groups)

Cite this article:

Zhang Zhi-Yong(张智勇), Yong Xue-Lin(雍雪林), and Chen Yu-Fu(陈玉福) A new method to obtain approximate symmetry of nonlinear evolution equation from perturbations 2009 Chin. Phys. B 18 2629

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