Description of compatible differential-geometric Poisson brackets of the first order
Exactly Solvable and Integrable Systems
2007-05-23 v1
Abstract
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).
Keywords
Cite
@article{arxiv.nlin/0412054,
title = {Description of compatible differential-geometric Poisson brackets of the first order},
author = {Maxim Pavlov},
journal= {arXiv preprint arXiv:nlin/0412054},
year = {2007}
}
Comments
to appear in Theoretical and Mathematical Physics