Functional Variable Separation for Generalized (1+2)-Dimensional Nonlinear Diffusion Equations

Chin. Phys. Lett.

2005, Vol. 22

Issue (5): 1029-1032 DOI:

Original Articles

Functional Variable Separation for Generalized (1+2)-Dimensional Nonlinear Diffusion Equations

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

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

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ZHANG Shun-Li, LOU Sen-Yue, QU Chang-Zheng 2005 Chin. Phys. Lett. 22 1029-1032

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Abstract The functional variable separation approach is applied to study the generalized (1+2)-dimensional nonlinear diffusion equations. Complete classification for those equations admitting the functional separable solutions and some such exact solutions are obtained. Consequently, the results reported previously are widely extended.

Keywords: 02.30.Ik 03.40.Kr 02.30.Jr

Published: 01 May 2005

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

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I5/01029

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