On auto and hetero Backlund transformations for the Henon-Heiles systems

Abstract

We consider a canonical transformation of parabolic coordinates on the plain and suppose that this transformation together with some additional relations may be considered as a counterpart of the auto and hetero Bäcklund transformations associated with the integrable Hénon-Heiles systems.

7 pages, LaTeX with AMS fonts, in this version we add an explicit expression for the Bäcklund transformation

References in corpus (1)

• Simultaneous separation for the Neumann and Chaplygin systems

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