On the Lie symmetries of Kepler-Ermakov systems

2003/06/12 by A. Karasu, H. Yildirim
Physics and Astronomy · Mathematics · #math-ph #math.MP

paper · pdf

published as J. Nonlinear Math. Phys., volume 9, no.4 (2002) 475-482 · arxiv version is already official

arxiv created 2003/06/12 · arxiv updated 2009/11/30

Abstract

In this work, we study the Lie-point symmetries of Kepler--Ermakov systems presented by C. Athorne in J. Phys. A24 (1991), L1385--L1389. We determine the forms of arbitrary function H(x,y) in order to find the members of this class possessing the sl(2,R) symmetry and a Lagrangian. We show that these systems are usual Ermakov systems with the frequency function depending on the dynamical variables.

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