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

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  • Ji, Lina
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    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.

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    File URL: http://www.sciencedirect.com/science/article/pii/S0378437112005444
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    Bibliographic Info

    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 391 (2012)
    Issue (Month): 24 ()
    Pages: 6320-6331

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    Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6320-6331

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

    Related research

    Keywords: Conditional Lie–Bäcklund symmetry; Invariant subspace; Nonlinear diffusion equations; Dynamical system;

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    1. Plastino, A.R. & Plastino, A., 1995. "Non-extensive statistical mechanics and generalized Fokker-Planck equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 347-354.
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