Exact solutions for a class of integrable Henon-Heiles-type systems

Details Exact solutions for a class of integrable Henon-Heiles-type systems Exact solutions for a class of integrable Henon-Heiles-type systems

2009-11-22

arxiv.org/abs/0911.4260v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

RevTeX4-1, 13 pages, Submitted to J. Math. Phys

Scientific paper

We study the exact solutions of a class of integrable Henon-Heiles-type systems (according to the analysis of Bountis et al. (1982)). These solutions are expressed in terms of two-dimensional Kleinian functions. Special periodic solutions are expressed in terms of the well-known Weierstrass function. We extend some of our results to a generalized Henon-Heiles-type system with n+1 degrees of freedom.

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