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Ufimskii Matematicheskii Zhurnal, 2012, Volume 4, Issue 4, Pages 179–185 (Mi ufa179)  
This article is cited in 5 scientific papers (total in 5 papers)

Local and nonlocal conserved vectors for the nonlinear filtration equation

A. A. Alexandrovaa, N. H. Ibragimovab, K. V. Imamutdinovaa, V. O. Lukashchuka

a Laboratory Group analysis of mathematical models in natural and engineering sciences, Ufa State Aviation Technical University, Ufa, Russia
b Research Centre ALGA: Advances in Lie Group Analysis, Blekinge Institute of Technology, Karlskrona, Sweden
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Abstract: It is demonstrated that the nonlinear filtration equation is nonlinarly selfadjoint. Using this property, the conserved vectors associated with Lie point and nonlocal symmetries are constructed.
Keywords: nonlinear filtration equation, nonlinear self-adjointness, Lie point and nonlocal symmetries, conserved vectors.
Received: 29.10.2012
Document Type: Article
UDC: 517.958+537.84
Language: English
Citation: A. A. Alexandrova, N. H. Ibragimov, K. V. Imamutdinova, V. O. Lukashchuk, “Local and nonlocal conserved vectors for the nonlinear filtration equation”, Ufimsk. Mat. Zh., 4:4 (2012), 179–185
Citation in format AMSBIB
\Bibitem{AleIbrIma12}
\by A.~A.~Alexandrova, N.~H.~Ibragimov, K.~V.~Imamutdinova, V.~O.~Lukashchuk
\paper Local and nonlocal conserved vectors for the nonlinear filtration equation
\jour Ufimsk. Mat. Zh.
\yr 2012
\vol 4
\issue 4
\pages 179--185
\mathnet{http://mi.mathnet.ru/ufa179}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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