The Lax pairs for the Holt system

Abstract

By using non-canonical transformation between the Holt system and the Henon-Heiles system the Lax pairs for all the integrable cases of the Holt system are constructed from the known Lax representations for the Henon-Heiles system.

7 pages, LaTeX2e, a4.sty

References in corpus (1)

• Duality between integrable Stackel systems

Cited by in corpus (5)

• On the Drach superintegrable systems
• The Maupertuis principle and canonical transformations of the extended phase space
• Canonical transformations of the extended phase space, Toda lattices and Stackel family of integrable systems
• Higher-order superintegrability of a Holt related potential
• Canonical transformations of the time for the Toda lattice and the Holt system