Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations

Chin. Phys. Lett.

2005, Vol. 22

Issue (7): 1563-1566 DOI:

Original Articles

Group Foliation Method and Functional Separation of Variables to Nonlinear Diffusion Equations

QU Chang-Zheng; ZHANG Shun-Li

¹Center for Nonlinear Studies, Northwest University, Xi’an 710069 ²Department of Mathematics, Northwest University, Xi’an 710069

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QU Chang-Zheng, ZHANG Shun-Li 2005 Chin. Phys. Lett. 22 1563-1566

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Abstract Generalized functional separation of variables to nonlinear diffusion equations is studied in terms of the extended group foliation method. A complete classification for the nonlinear diffusion equation with source term which admits functional separable solutions is presented.

Keywords: 02.20.Tw 11.30.Na 44.05.+e 05.45.Yv

Published: 01 July 2005

PACS:	02.20.Tw	(Infinite-dimensional Lie groups)
	11.30.Na	(Nonlinear and dynamical symmetries (spectrum-generating symmetries))
	44.05.+e	(Analytical and numerical techniques)
	05.45.Yv	(Solitons)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2005/V22/I7/01563

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