## Abstract

The Hamiltonian structure of stationary soliton equations associated with the AKNS eigenvalue problem is derived in two ways. First, it is shown to arise from the Kostant-Kirillov symplectic structure on a coadjoint orbit in an infinite-dimensional Lie algebra. Second, it is obtained as the restriction to a finite-dimensional manifold of the infinite-dimensional Hamiltonian structure associated with a certain eigenvalue problem polynomial in the eigenvalue parameter.

Original language | English (US) |
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Pages (from-to) | 324-332 |

Number of pages | 9 |

Journal | Physica D: Nonlinear Phenomena |

Volume | 9 |

Issue number | 3 |

DOIs | |

State | Published - Dec 1983 |

## ASJC Scopus subject areas

- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics

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