This article is cited in 2 papers

Group classification of a class of semilinear pseudoparabolic equations

A. V. Panov

Chelyabinsk State University, Chelyabinsk, Russia

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.

UDC: 517.9

MSC: 35B06, 35K58, 35K70

Received: 04.10.2013

 English version: Ufa Mathematical Journal, 2013, 5:4, 101–111

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