Ermakov's Superintegrable Toy and Nonlocal Symmetries

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2005
• Hauptverfasser: Leach, P.G.L., Karasu (Kalkanli), A., Nucci, M.C., Andriopoulos, K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2005
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/209342
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Ermakov's Superintegrable Toy and Nonlocal Symmetries / P.G.L. Leach, A. Karasu (Kalkanli), M.C. Nucci, K. Andiopoulos // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 50 назв. — англ.

We investigate the symmetry properties of a pair of Ermakov equations. The system is superintegrable and yet possesses only three Lie point symmetries with the algebra sl(2, R). The number of point symmetries is insufficient, and the algebra is unsuitable for the complete specification of the system...