### 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.

Original language | English |
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Pages (from-to) | 1151-1164 |

Number of pages | 14 |

Journal | Proceedings of the Royal Society of Edinburgh, Section A: Mathematics |

Volume | 124 |

Issue number | 6 |

DOIs | |

Publication status | Published - 1994 |

### Cite this

*Proceedings of the Royal Society of Edinburgh, Section A: Mathematics*,

*124*(6), 1151-1164. https://doi.org/10.1017/S030821050003016X

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*Proceedings of the Royal Society of Edinburgh, Section A: Mathematics*, vol. 124, no. 6, pp. 1151-1164. https://doi.org/10.1017/S030821050003016X

**Elliptic solutions and blow-up in an integrable Hénon–Heiles system.** / EILBECK, J C ; ENOLSKII, V Z .

Research output: Contribution to journal › Article

TY - JOUR

T1 - Elliptic solutions and blow-up in an integrable Hénon–Heiles system

AU - EILBECK, J C

AU - ENOLSKII, V Z

PY - 1994

Y1 - 1994

N2 - 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.

AB - 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.

U2 - 10.1017/S030821050003016X

DO - 10.1017/S030821050003016X

M3 - Article

VL - 124

SP - 1151

EP - 1164

JO - Proceedings of the Royal Society of Edinburgh, Section A: Mathematics

JF - Proceedings of the Royal Society of Edinburgh, Section A: Mathematics

SN - 0308-2105

IS - 6

ER -