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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 3, Pages 63–76
(Mi chfmj29)
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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.
Received: 28.09.2016 Revised: 08.10.2016
Citation:
V. E. Fedorov, “Group classification of the quasistationary phase fileld equations system”, Chelyab. Fiz.-Mat. Zh., 1:3 (2016), 63–76
Linking options:
https://www.mathnet.ru/eng/chfmj29 https://www.mathnet.ru/eng/chfmj/v1/i3/p63
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Abstract page: | 191 | Full-text PDF : | 48 | References: | 38 |
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