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Conditional Lie–Bäcklund symmetries and functionally separable solutions of the generalized inhomogeneous nonlinear diffusion equations

The functionally separable solutions of the generalized inhomogeneous nonlinear diffusion equations are studied by applying the conditional Lie–Bäcklund symmetry method. A complete list of canonical forms for such equations are presented. Exact solutions to the resulting equations are constructed. The asymptotic behaviors and blow-up properties of some solutions are also discussed.
Year of publication:
2013
Authors: Feng, Wei ; Ji, Lina
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 392.2013, 4, p. 618-627
Publisher: Elsevier
Subject: Conditional Lie–Bäcklund symmetry | Functionally separable solution | Generalized inhomogeneous nonlinear diffusion equation | Symmetry reduction
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10011062214
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