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

2006/10/31 by Rei Inoue, Yukiko Konishi
Mathematics · Physics and Astronomy · #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons #math-ph #math.MP #msc:14H40 #msc:14H70 #msc:37J35 #nlin.SI

paper · pdf · doi:10.3842/sigma.2007.007

published as SIGMA 3 (2007), 007, 16 pages · 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/

openalex publication_date 2007/01/08 · arxiv created 2007/01/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations