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

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  • Junquan Song
  • Yujian Ye
  • Danda Zhang
  • Jun Zhang

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.

Suggested Citation

  • Junquan Song & Yujian Ye & Danda Zhang & Jun Zhang, 2014. "Conditional Lie-Bäcklund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-17, February.
    • Handle: RePEc:hin:jnlaaa:898032
    DOI: 10.1155/2014/898032
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