NEW TWO-PARAMETER SOLUTIONS FOR THE GENERALIZED HENON-HEILES SYSTEM

The generalized Henon--Heiles system is considered.
In two nonintegrable cases new two-parameter solutions have been
obtained in terms of elliptic functions.
These solutions generalize the known one-parameter
solutions. The singularity analysis shows that it is possible that
the obtained solutions are parts of three-parameter single-valued
solutions.

Document number: 2003-14/727

Authors: Vernov S.Yu., Timoshkova E.I

Email: svernov@theory.sinp.msu.ru

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