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Nonclassical symmetry of nonlinear diffusion equation and factorization method

✍ Scribed by Souichi Murata

Publisher: Elsevier Science
Year: 2010
Tongue: English
Weight: 134 KB
Volume: 15
Category: Article
ISSN: 1007-5704
DOI: 10.1016/j.cnsns.2009.12.030

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✦ Synopsis

We present the nonclassical symmetry of a nonlinear diffusion equation whose a nonlinear term is an arbitrary function. Generally, there is no guarantee that we can always determine the nonclassical symmetries admitted by the given equation because of the nonlinearity included in the determining equations. Accordingly, constructing invariant solutions is also generally difficult. In this paper, we apply the factorization method to nonclassical symmetry analysis for the nonlinear diffusion equation. Applying this method simplifies the determining equations and leads to their invariant solution automatically.

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