On the Lie symmetries of Kepler-Ermakov systems
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0306037,
title = {On the Lie symmetries of Kepler-Ermakov systems},
author = {A. Karasu and H. Yildirim},
journal= {arXiv preprint arXiv:math-ph/0306037},
year = {2007}
}
Comments
arxiv version is already official