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

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant

Інший ID: 2000 Mathematics Subject Classification: 37J35; 14H70

URI: http://dspace.nbuv.gov.ua/handle/123456789/147806

Посилання: 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.

Підтримка: This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The authors thank Takao Yamazaki for discussion and reading the manuscript. Y.K. is a research fellow of the Japan Society for the Promotion of Science.

Дата: 2007

Завантажень: 242

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

Анотація:

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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