Journal of Nonlinear Mathematical Physics

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Volume 9, Issue 4, November 2002, Pages 475 - 482

On the Lie Symmetries of Kepler­Ermakov Systems

Authors
Ayse Karasu (Kalkanli), Hasan Yildirim
Corresponding Author
Ayse Karasu (Kalkanli)
Received 12 February 2002, Revised 4 May 2002, Accepted 4 May 2002, Available Online 1 November 2002.
DOI
10.2991/jnmp.2002.9.4.8How to use a DOI?
Abstract

In this work, we study the Lie-point symmetries of Kepler­Ermakov systems presented by C Athorne in J. Phys. A24 (1991), L1385­L1389. 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.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 4
Pages
475 - 482
Publication Date
2002/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.4.8How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Ayse Karasu (Kalkanli)
AU  - Hasan Yildirim
PY  - 2002
DA  - 2002/11/01
TI  - On the Lie Symmetries of Kepler­Ermakov Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 475
EP  - 482
VL  - 9
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.4.8
DO  - 10.2991/jnmp.2002.9.4.8
ID  - Karasu(Kalkanli)2002
ER  -