Multi-Hamiltonian Structures on Beauville's Integrable System and Its Variant
classification
🧮 math-ph
math.MPnlin.SI
keywords
systemstructuresbeauvilleintegrablemulti-hamiltonianmumfordvariantcompletely
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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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