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Ufa Mathematical Journal, 2013, Volume 5, Issue 4, Pages 101–111
DOI: https://doi.org/10.13108/2013-5-4-101
(Mi ufa226)
 

This article is cited in 2 scientific papers (total in 2 papers)

Group classification of a class of semilinear pseudoparabolic equations

A. V. Panov

Chelyabinsk State University, Chelyabinsk, Russia
References:
Abstract: Group classification is implemented for a pseudoparabolic partial differential equation with two parameters. Equivalence transformations groups are found and used for classification of the equation parameters. Kernels of principal symmetries groups are found for the equations. Principal symmetries groups are found for specifications of parameters expanding the kernel of transformations groups. The obtained submodels are summarized in a table at the end of the paper.
Keywords: Lie algebra, group classification, submodels programm.
Received: 04.10.2013
Bibliographic databases:
Document Type: Article
UDC: 517.9
MSC: 35B06, 35K58, 35K70
Language: English
Original paper language: Russian
Citation: A. V. Panov, “Group classification of a class of semilinear pseudoparabolic equations”, Ufa Math. J., 5:4 (2013), 101–111
Citation in format AMSBIB
\Bibitem{Pan13}
\by A.~V.~Panov
\paper Group classification of a class of semilinear pseudoparabolic equations
\jour Ufa Math. J.
\yr 2013
\vol 5
\issue 4
\pages 101--111
\mathnet{http://mi.mathnet.ru/eng/ufa226}
\crossref{https://doi.org/10.13108/2013-5-4-101}
\elib{https://elibrary.ru/item.asp?id=20930481}
Linking options:
  • https://www.mathnet.ru/eng/ufa226
  • https://doi.org/10.13108/2013-5-4-101
  • https://www.mathnet.ru/eng/ufa/v5/i4/p105
  • This publication is cited in the following 2 articles:
    1. E. A. Bezbogova, V. E. Fedorov, A. S. Avilovich, “Simmetriinyi analiz nelineinogo psevdoparabolicheskogo uravneniya”, Chelyab. fiz.-matem. zhurn., 2:2 (2017), 152–168  mathnet  mathscinet  elib
    2. A. V. Panov, “Optimal system of subalgebras for sum of two ideals $\mathfrak{aff}(\mathbb{R})\oplus \mathfrak{sl}(2,\mathbb{R})$”, J. Math. Sci., 215:4 (2016), 537–542  mathnet  crossref  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Statistics & downloads:
    Abstract page:406
    Russian version PDF:152
    English version PDF:26
    References:97
    First page:2
     
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