Conditional Lie–Bäcklund symmetries and invariant subspaces to nonlinear diffusion equations with source

Lina Ji

Physica A: Statistical Mechanics and its Applications, 2012, vol. 391, issue 24, 6320-6331

Abstract: This paper considers conditional Lie–Bäcklund symmetries of the radially symmetric nonlinear diffusion equations with source. We obtain a complete list of canonical forms for such equations which admit higher-order conditional symmetries. As a consequence, the solutions of the resulting equations are constructed on the invariant subspaces admitted by the corresponding equations.

Keywords: Conditional Lie–Bäcklund symmetry; Invariant subspace; Nonlinear diffusion equations; Dynamical system (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:391:y:2012:i:24:p:6320-6331

DOI: 10.1016/j.physa.2012.06.040

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