On algebro-geometric Poisson brackets for the Volterra lattice

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dc.creatorVeselov, A. P.
dc.creatorPenskoi, A. V.
dc.date2000-10-20
dc.date2000-11-24
dc.date.accessioned2026-07-07T04:28:04Z
dc.date.available2026-07-07T04:28:04Z
dc.descriptionA generalization of the theory of algebro-geometric Poisson brackets on the space of finite-gap Schroedinger operators, developped by S. P. Novikov and A. P. Veselov, to the case of periodic zero-diagonal difference operators of second order is proposed. A necessary and sufficient condition for such a bracket to be compatible with higher Volterra flows is found.
dc.description8 pages, written addendum
dc.identifierhttps://arxiv.org/abs/math-ph/0010027
dc.identifierhttp://arxiv.org/abs/math-ph/0010027
dc.identifierRegular and Chaotic Dynamics, 3 (1998), no.2, pp. 3-9
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56651
dc.subjectMathematical Physics
dc.subjectAlgebraic Geometry
dc.subjectExactly Solvable and Integrable Systems
dc.subject34G20, 34L40
dc.titleOn algebro-geometric Poisson brackets for the Volterra lattice
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