Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration

doi:10.1088/1674-1056/19/1/010301

Abstract The Lie symmetries and conserved quantities of a two-dimensional nonlinear diffusion equation of concentration are considered. Based on the invariance of the two-dimensional nonlinear diffusion equation of concentration under the infinitesimal transformation with respect to the generalized coordinates and time, the determining equations of Lie symmetries are presented. The Lie groups of transformation and infinitesimal generators of this equation are obtained. The conserved quantities associated with the nonlinear diffusion equation of concentration are derived by integrating the characteristic equations. Also, the solutions of the two-dimensional nonlinear diffusion equation of concentration can be obtained.

Keywords: Lie symmetry conserved quantity nonlinear diffusion equation of concentration

Received: 29 May 2009
Revised: 10 August 2009
Accepted manuscript online:

PACS:	05.60.-k	(Transport processes)
	02.20.Qs	(General properties, structure, and representation of Lie groups)
	02.30.Jr	(Partial differential equations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10672143 and 60575055).

Cite this article:

Zhao Li(赵丽), Fu Jing-Li(傅景礼), and Chen Ben-Yong(陈本永) Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration 2010 Chin. Phys. B 19 010301

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Lie symmetries and conserved quantities for a two-dimensional nonlinear diffusion equation of concentration

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