Alexander A. Rodionov, “The Equations of the Rotationally-Symmetric Motions in Lagrangian Coordinates and the Invariant Solutions”, J. Sib. Fed. Univ. Math. Phys., 2009, Volume 2, Issue 4,Pages <nobr>494

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

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.

UDC: 517.95+532

Received: 18.05.2009
Received in revised form: 25.07.2009
Accepted: 10.09.2009