Conditional Lie-Bäcklund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source

Junquan Song, Yujian Ye, Danda Zhang and Jun Zhang

Abstract and Applied Analysis, 2014, vol. 2014, 1-17

Abstract:

Conditional Lie-Bäcklund symmetry approach is used to study the invariant subspace of the nonlinear diffusion equations with source , . We obtain a complete list of canonical forms for such equations admit multidimensional invariant subspaces determined by higher order conditional Lie-Bäcklund symmetries. The resulting equations are either solved exactly or reduced to some finite-dimensional dynamic systems.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:898032

DOI: 10.1155/2014/898032

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