On the Lie symmetries of Kepler-Ermakov systems

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2002-11-01

Author

Karasu, Emine Ayşe

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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.

Subject Keywords

Mathematical Physics, Statistical and Nonlinear Physics

URI

https://hdl.handle.net/11511/36331

Journal

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS

DOI

https://doi.org/10.2991/jnmp.2002.9.4.8

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Department of Physics, Article

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Citation Formats

E. A. Karasu, “On the Lie symmetries of Kepler-Ermakov systems,” JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, pp. 475–482, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/36331.