Description of compatible differential-geometric Poisson brackets of the first order

dc.creatorPavlov, Maxim
dc.date2004-12-21
dc.date.accessioned2026-07-07T05:36:10Z
dc.date.available2026-07-07T05:36:10Z
dc.descriptionCompatible local differential-geometric Poisson brackets of the first order (Dubrovin-Novikov type) are classified by solutions of modified Sinh-Gordon equation. It was proved by E.V. Ferapontov. In this paper integrable system describing compatible non-local differential-geometric Poisson brackets of the first order (Ferapontov type) is presented in case when one metric is flat and another one has co-dimension 1. This is a reduction of the Cherednik model (chiral fields).
dc.descriptionto appear in Theoretical and Mathematical Physics
dc.identifierhttps://arxiv.org/abs/nlin/0412054
dc.identifierhttp://arxiv.org/abs/nlin/0412054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80899
dc.subjectExactly Solvable and Integrable Systems
dc.titleDescription of compatible differential-geometric Poisson brackets of the first order
dc.typetext

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