We consider an integrable case of the Henon-Heiles system and use an isomorphism with the two-gap KdV-flow to construct families of real elliptic trajectories which are associated with two-gap elliptic solitons of the KdV equation. Some of these solutions exhibit blow-up in finite time.
|Number of pages||14|
|Journal||Proceedings of the Royal Society of Edinburgh, Section A: Mathematics|
|Publication status||Published - 1994|