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JOURNALS // Symmetry, Integrability and Geometry: Methods and Applications // Archive
SIGMA, 2007 Volume 3, 007, 16 pp. (Mi sigma133)
This article is cited in 1 paper

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

Rei Inoue, Yukiko Konishi

University of Tokyo

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.

Keywords: completely integrable system; Mumford system; multi-Hamiltonian structure.

MSC: 37J35; 14H70

Received: October 24, 2006; in final form December 29, 2006; Published online January 8, 2007

Language: English

DOI: 10.3842/SIGMA.2007.007



Bibliographic databases:
ArXiv: math-ph/0610048

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