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

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Compatible 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).
to appear in Theoretical and Mathematical Physics

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Exactly Solvable and Integrable Systems

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http://salesiana.dossiersoluciones.com/handle/123456789/80899

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0412054
 http://arxiv.org/abs/nlin/0412054

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arXiv