Linearization of Systems of Nonlinear Diffusion Equations

Chin. Phys. Lett.

2007, Vol. 24

Issue (9): 2467-2470 DOI:

Original Articles

Linearization of Systems of Nonlinear Diffusion Equations

KANG Jing ^1,2;QU Chang-Zheng ^1,2

¹Center for Nonlinear Studies, Northwest University, Xi'an 710069²Department of Mathematics, Northwest University, Xi'an 710069

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KANG Jing, QU Chang-Zheng 2007 Chin. Phys. Lett. 24 2467-2470

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Abstract We investigate the linearization of systems of n-component nonlinear diffusion equations; such systems have physical applications in soil science, mathematical biology and invariant curve flows. Equivalence transformations of their auxiliary systems are used to identify the systems that can be linearized. We also provide several examples of systems with two-component
equations, and show how to linearize them by nonlocal mappings.

Keywords: 02.20.Tw 02.30.Jr 44.05.+e 44.10.+i

Received: 06 April 2007 Published: 16 August 2007

PACS:	02.20.Tw	(Infinite-dimensional Lie groups)
	02.30.Jr	(Partial differential equations)
	44.05.+e	(Analytical and numerical techniques)
	44.10.+i	(Heat conduction)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2007/V24/I9/02467

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	KANG Jing
	QU Chang-Zheng

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