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Elliptic solutions and blow-up in an integrable Hénon–Heiles system
Published online by Cambridge University Press: 14 November 2011
Abstract
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.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 124 , Issue 6 , 1994 , pp. 1151 - 1164
- Copyright
- Copyright © Royal Society of Edinburgh 1994
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