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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 2, Pages 167–189
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000236 (Mi rcd775) 		 
This article is cited in 2 scientific papers (total in 2 papers)

The non-linear diffusion and thermal conductivity equation: group classification and exact solutions

I. B. Kovalenkoab, A. G. Kushnerba

a Astrakhan State University
b Moscow State University
Citations (2)
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000236
Abstract: We consider the problem of group classification of one non-linear partial differential equation which describes the processes on non-linear diffusion and thermal conductivity. We found Lie algebras of symmetries of this equation which let us find some exact solutions.
Received: 04.11.2002
Bibliographic databases:
Document Type: Article
MSC: 35K57, 58J65
Language: English
Citation: I. B. Kovalenko, A. G. Kushner, “The non-linear diffusion and thermal conductivity equation: group classification and exact solutions”, Regul. Chaotic Dyn., 8:2 (2003), 167–189
Citation in format AMSBIB
\Bibitem{KovKus03}
\by I. B. Kovalenko, A. G. Kushner
\paper The non-linear diffusion and thermal conductivity equation: group classification and exact solutions
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 2
\pages 167--189
\mathnet{http://mi.mathnet.ru/rcd775}
\crossref{https://doi.org/10.1070/RD2003v008n02ABEH000236}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988858}
\zmath{https://zbmath.org/?q=an:1036.35088}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..167K}
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    • This publication is cited in the following 2 articles:
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