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Ufimskii Matematicheskii Zhurnal, 2009, Volume 1, Issue 3, Pages 119–124 (Mi ufa23)  
Widening groups and partially invariant solutions

A. A. Talyshev

Novosibirsk State University
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Abstract: If the system of differential equation admit Lie group and any widening this group on extra variables (parameters), then each invariant solution of the system with respect to widening group may be partially invariant solution with respect to initial group.
Keywords: invariant solutions, partially invariant solutions, widening group.
Received: 12.08.2009
Bibliographic databases:
UDC: 517.9
Language: Russian
Citation: A. A. Talyshev, “Widening groups and partially invariant solutions”, Ufimsk. Mat. Zh., 1:3 (2009), 119–124
Citation in format AMSBIB
\Bibitem{Tal09}
\by A.~A.~Talyshev
\paper Widening groups and partially invariant solutions
\jour Ufimsk. Mat. Zh.
\yr 2009
\vol 1
\issue 3
\pages 119--124
\mathnet{http://mi.mathnet.ru/ufa23}
\zmath{https://zbmath.org/?q=an:1240.70025}
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  • https://www.mathnet.ru/eng/ufa/v1/i3/p119
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