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, issue 1

Abstract: Conditional Lie‐Bäcklund symmetry approach is used to study the invariant subspace of the nonlinear diffusion equations with source ut=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.

Date: 2014
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2014/898032

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:898032

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().