### 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

EILBECK, J. C., & ENOLSKII, V. Z. (1994). Elliptic solutions and blow-up in an integrable Hénon–Heiles system.

*Proceedings of the Royal Society of Edinburgh, Section A: Mathematics*,*124*(6), 1151-1164. https://doi.org/10.1017/S030821050003016X