Geodesic
Symmetry analysis of nonlinear pseudoparabolic equation
Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 2, pp. 152-168.

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The group classification is obtained for quasilinear pseudoparabolic equation with a free element depending on the first order time derivative. Four-dimensional kernel of principal groups and all free element specifications up to equivalence transformations which correspond to additional symmetries of the equation are found. For some nonlinear specifications optimal one-dimensional subalgebras system of five-dimensional principal Lie algebra and corresponding invariant solutions or invariant submodels are calculated. Besides, nonlinear self-adjointness is shown for the operator that defining the linear equation of the species. A series of conservation laws of a linear equation was searched.
Keywords: pseudoparabolic equation, group analysis, group classification, invariant solution, conservation law. 
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E. A. Bezbogova; V. E. Fedorov; A. S. Avilovich. Symmetry analysis of  nonlinear pseudoparabolic equation. Čelâbinskij fiziko-matematičeskij žurnal, Tome 2 (2017) no. 2, pp. 152-168. http://geodesic.mathdoc.fr/item/CHFMJ_2017_2_2_a1/

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