Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations

Chin. Phys. Lett.

2002, Vol. 19

Issue (12): 1741-1744 DOI:

Original Articles

Variable Separation and Exact Solutions to Generalized Nonlinear Diffusion Equations

ZHANG Shun-Li^1,2;LOU Sen-Yue^1,3;QU Chang-Zheng²

¹Department of Physics, Shanghai Jiao Tong University, Shanghai 200030 ²Department of Mathematics, Northwest University, Xi’an 710069 ³Department of Physics, Ningbo University, Ningbo 315211

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ZHANG Shun-Li, LOU Sen-Yue, QU Chang-Zheng 2002 Chin. Phys. Lett. 19 1741-1744

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Abstract We study in detail a method to find the generalized nonlinear diffusion equations, which can be solved by means of the variable separation approach. A complete list of canonical forms for such equations, which admit the functional separable solutions, is obtained and some exact solutions to the resulting equations are described.

Keywords: 02.30.Ik 03.40.K 02.30.Jr

Published: 01 December 2002

PACS:	02.30.Ik	(Integrable systems)
	03.40.K
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2002/V19/I12/01741

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