A. A. Alexandrova, N. H. Ibragimov, K. V. Imamutdinova, V. O. Lukashchuk, “Local and nonlocal conserved vectors for the nonlinear filtration equation”, Ufa Math. J., 4:4 (2012)

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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. Alexandrova^a, N. H. Ibragimov^ab, K. V. Imamutdinova^a, V. O. Lukashchuk^a

^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”, Ufa Math. J., 4:4 (2012)

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 Ufa Math. J.

\yr 2012

\vol 4

\issue 4

\mathnet{http://mi.mathnet.ru/eng/ufa179}

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This publication is cited in the following 5 articles:

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