Conditional Lie-Bäcklund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source
In: Abstract and Applied Analysis, Jg. 2014 (2014)
Online
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Zugriff:
Conditional Lie-Bäcklund symmetry approach is used to study the invariant subspace of the nonlinear diffusion equations with sourceut=e−qx(epxP(u)uxm)x+Q(x,u),m≠1. 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.
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Conditional Lie-Bäcklund Symmetries and Reductions of the Nonlinear Diffusion Equations with Source
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Autor/in / Beteiligte Person: | Zhang, Jun ; Song, Junquan ; Ye, Yujian ; Zhang, Danda |
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Zeitschrift: | Abstract and Applied Analysis, Jg. 2014 (2014) |
Veröffentlichung: | Hindawi Limited, 2014 |
Medientyp: | unknown |
ISSN: | 1687-0409 (print) ; 1085-3375 (print) |
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