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

Wei Feng and Lina Ji

Physica A: Statistical Mechanics and its Applications, 2013, vol. 392, issue 4, 618-627

Abstract: 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.

Keywords: Conditional Lie–Bäcklund symmetry; Functionally separable solution; Generalized inhomogeneous nonlinear diffusion equation; Symmetry reduction (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:392:y:2013:i:4:p:618-627

DOI: 10.1016/j.physa.2012.10.001

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