Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2007
• Main Authors: Inoue, R., Konishi, Y.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2007
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147806
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant / R. Inoue, Y. Konishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 12 назв. — англ.

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.