Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
Mathematical Physics
2008-04-24 v3 math.MP
Exactly Solvable and Integrable Systems
Abstract
We study Beauville's completely integrable system and its variant from a viewpoint of multi-Hamiltonian structures. We also relate our result to the previously known Poisson structures on the Mumford system and the even Mumford system.
Cite
@article{arxiv.math-ph/0610048,
title = {Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant},
author = {Rei Inoue and Yukiko Konishi},
journal= {arXiv preprint arXiv:math-ph/0610048},
year = {2008}
}
Comments
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/