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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2016 Volume 1, Issue 3, Pages 63–76 (Mi chfmj29)

Mathematics

Group classification of the quasistationary phase fileld equations system

V. E. Fedorov

Chelyabinsk State University, Chelyabinsk, Russia

Abstract: The quasistationary system of the phase field equations is considered. Equivalence transformations groups (not universal) are found for seven subclasses of the system free parameters. In the nonlinear case the group classification of the equations system is obtained.

Keywords: nonlinear partial differential equation, group analysis, equivalence transformations group, group classification, invariant submodel.

UDC: 517.957

Received: 28.09.2016
Revised: 08.10.2016



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