On the Lie symmetries of Kepler-Ermakov systems

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Karasu A., Yildirim H.

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, vol.9, no.4, pp.475-482, 2002 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 9 Issue: 4
• Publication Date: 2002
• Doi Number: 10.2991/jnmp.2002.9.4.8
• Journal Name: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.475-482
• Middle East Technical University Affiliated: Yes

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.