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Journal of Siberian Federal University. Mathematics & Physics, 2009, Volume 2, Issue 4, Pages 494–505 (Mi jsfu96)  
The Equations of the Rotationally-Symmetric Motions in Lagrangian Coordinates and the Invariant Solutions

Alexander A. Rodionov

Institute of Computational Modelling, Siberian Branch of the Russian Academy of Sciences, Krasnoyarsk, Russia
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Abstract: The group properties for the systems of the equations of the rotationally-symmetric motions in Lagrangian coordinates are presented. Some new examples of the invariant solutions for these equations are considered. A physical interpretation of the solutions is given.
Keywords: group analysis, algebra Li of operators, invariant solution.
Received: 18.05.2009
Received in revised form: 25.07.2009
Accepted: 10.09.2009
UDC: 517.95+532
Language: Russian
Citation: Alexander A. Rodionov, “The Equations of the Rotationally-Symmetric Motions in Lagrangian Coordinates and the Invariant Solutions”, J. Sib. Fed. Univ. Math. Phys., 2:4 (2009), 494–505
Citation in format AMSBIB
\Bibitem{Rod09}
\by Alexander~A.~Rodionov
\paper The Equations of the Rotationally-Symmetric Motions in Lagrangian Coordinates and the Invariant Solutions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2009
\vol 2
\issue 4
\pages 494--505
\mathnet{http://mi.mathnet.ru/jsfu96}
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