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

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

2006-10-20

arxiv.org/abs/math-ph/0610048v3

SIGMA 3 (2007), 007, 16 pages

Physics

Mathematical Physics

This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Sym

Scientific paper

10.3842/SIGMA.2007.007

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.

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