Geodesic
Symmetries of a class of quasilinear pseudoparabolic equations. Invariant solutions
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 90-111

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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
Mots-clés : optimal system of subalgebras, invariant solution. 
@article{VCHGU_2012_15_a6,
     author = {V. E. Fedorov and A. V. Panov and A. S. Karabaeva},
     title = {Symmetries of a class of quasilinear pseudoparabolic equations. {Invariant} solutions},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {90--111},
     publisher = {mathdoc},
     number = {15},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a6/}
}
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V. E. Fedorov; A. V. Panov; A. S. Karabaeva. Symmetries of a class of quasilinear pseudoparabolic equations. Invariant solutions. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 15 (2012), pp. 90-111. http://geodesic.mathdoc.fr/item/VCHGU_2012_15_a6/