Lie point symmetries for reduced Ermakov systems
Abstract
The condition for Lie point symmetries for reduced Ermakov systems is solved yielding three families of systems. SL(2,R) is always a group of symmetries when frequencies depends on time only. However, the generator of symmetries in more general cases have a contribution not associated with the SL(2,R) group.
- Publication:
-
Physics Letters A
- Pub Date:
- November 2004
- DOI:
- arXiv:
- arXiv:nlin/0404031
- Bibcode:
- 2004PhLA..332...25H
- Keywords:
-
- Ermakov system;
- Lie symmetry;
- Ermakov invariant;
- Exactly Solvable and Integrable Systems