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Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, 2012, Issue 15, Pages 90–111 (Mi vchgu29)  
Differential equations

Symmetries of a class of quasilinear pseudoparabolic equations. Invariant solutions

V. E. Fedorov, A. V. Panov, A. S. Karabaeva

Chelyabinsk State University
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Abstract: A qusilinear pseudoparabolic type equation with a free element depending on the second derivative with respect to the spatial variable is researched by the methods of the group analysis. Four-dimensional kernel of principal groups of the equation and specifications of the free element leading to fifth symmetries are found. Optimal systems of one-dimensional subalgebras of the principal Lie algebras for the equations and some invariant solutions are calculated.
Keywords: symmetries group of differential equation, group analysis, Lie algebra, optimal system of subalgebras, invariant solution.
Funding agency Grant number
Russian Foundation for Basic Research 10-01-96007
Document Type: Article
Language: Russian
Citation: V. E. Fedorov, A. V. Panov, A. S. Karabaeva, “Symmetries of a class of quasilinear pseudoparabolic equations. Invariant solutions”, Vestnik Chelyabinsk. Gos. Univ., 2012, no. 15, 90–111
Citation in format AMSBIB
\Bibitem{FedPanKar12}
\by V.~E.~Fedorov, A.~V.~Panov, A.~S.~Karabaeva
\paper Symmetries of a class of quasilinear pseudoparabolic equations. Invariant solutions
\jour Vestnik Chelyabinsk. Gos. Univ.
\yr 2012
\issue 15
\pages 90--111
\mathnet{http://mi.mathnet.ru/vchgu29}
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