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

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  • Ji, Lina

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.

Suggested Citation

  • Ji, Lina, 2012. "Conditional Lie–Bäcklund symmetries and invariant subspaces to nonlinear diffusion equations with source," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6320-6331.
    • Handle: RePEc:eee:phsmap:v:391:y:2012:i:24:p:6320-6331
    DOI: 10.1016/j.physa.2012.06.040
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    References listed on IDEAS

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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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