Geodesic
The Equations of the Rotationally-Symmetric Motions in Lagrangian Coordinates and the Invariant Solutions
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 494-505

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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
Mots-clés : invariant solution. 
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     author = {Alexander A. Rodionov},
     title = {The {Equations} of the {Rotationally-Symmetric} {Motions} in {Lagrangian} {Coordinates} and the {Invariant} {Solutions}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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     publisher = {mathdoc},
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     year = {2009},
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     url = {http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a10/}
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Alexander A. Rodionov. The Equations of the Rotationally-Symmetric Motions in Lagrangian Coordinates and the Invariant Solutions. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 4, pp. 494-505. http://geodesic.mathdoc.fr/item/JSFU_2009_2_4_a10/