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JOURNALS // Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika // Archive
Vestnik Chelyabinsk. Gos. Univ., 2013 Issue 16, Pages 119–124 (Mi vchgu22)
Differential equations

Invariant solutions of a nonclassical mathematical physics equation

N. V. Filin, V. E. Fedorov

Chelyabinsk State University

Abstract: Symmetry analysis is carried out for a nonclassical mathematical physics equation. Principal Lie algebra and optimal system of its subalgebras is found for the equation. These results were used for calculating of invariant solutions.

Keywords: group analysis, admitted group, principal Lie algebra, optimal system of subalgebras, invariant solution.


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