ELLIPTIC SOLUTIONS AND BLOW-UP IN AN INTEGRABLE HENON-HEILES SYSTEM

Authors
EILBECK JC ENOLSKII VZ
Citation
Jc. Eilbeck et Vz. Enolskii, ELLIPTIC SOLUTIONS AND BLOW-UP IN AN INTEGRABLE HENON-HEILES SYSTEM, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 124, 1994, pp. 1151-1164
Citations number
34
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
124
Year of publication
1994
Part
6
Pages
1151 - 1164
Database
ISI
SICI code
0308-2105(1994)124:<1151:ESABIA>2.0.ZU;2-U
Abstract
We consider an integrable case of the Henon-Heiles system and use an i somorphism with the two-gap KdV-flow to construct families of real ell iptic trajectories which are associated with two-gap elliptic solitons of the KdV equation. Some of these solutions exhibit blow-up in finit e time.