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Elliptic solutions and blow-up in an integrable Hénon–Heiles system

Published online by Cambridge University Press:  14 November 2011

J. C. Eilbeck  and
V. Z. Enol'skii
J. C. Eilbeck
Affiliation:
Department of Mathematics, Heriot–Watt University, Riccarton, Edinburgh EH 14 4AS, U.K.
V. Z. Enol'skii
Affiliation:
Department of Theoretical Physics, Institute of Metal Physics, Vernadsky str. 36, Kiev-680, 252142, Ukraine
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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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