Journal of Nonlinear Mathematical Physics

Volume 11, Issue 2, May 2004, Pages 269 - 275

The Lie Algebra sl(2, R) and so-called Kepler-Ermakov Systems

Authors
P.G.L. Leach, Ayse Karasu Kalkanli
Corresponding Author
P.G.L. Leach
Received 25 February 2004, Accepted 25 March 2004, Available Online 1 May 2004.
DOI
10.2991/jnmp.2004.11.2.11How to use a DOI?
Abstract

A recent paper by Karasu (Kalkanli) and Yildirim (Journal of Nonlinear Mathematical Physics 9 (2002) 475-482) presented a study of the Kepler-Ermakov system in the context of determining the form of an arbitrary function in the system which was compatible with the presence of the sl(2, R) algebra characteristic of Ermakov systems and the existence of a Lagrangian for a subset of the systems. We supplement that analysis by correcting some results.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 2
Pages
269 - 275
Publication Date
2004/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.2.11How 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

TY  - JOUR
AU  - P.G.L. Leach
AU  - Ayse Karasu Kalkanli
PY  - 2004
DA  - 2004/05/01
TI  - The Lie Algebra sl(2, R) and so-called Kepler-Ermakov Systems
JO  - Journal of Nonlinear Mathematical Physics
SP  - 269
EP  - 275
VL  - 11
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.2.11
DO  - 10.2991/jnmp.2004.11.2.11
ID  - Leach2004
ER  -