Non-local Poisson structures and applications to the theory of integrable systems II
Mathematical Physics
2015-12-18 v1 math.MP
Rings and Algebras
Representation Theory
Abstract
We develop further the Lenard-Magri scheme of integrability for a pair of compatible non-local Poisson structures, which we discussed in Part I. We apply this scheme to several such pairs, proving thereby integrability of various evolution equations, as well as hyperbolic equations. Some of these equations may be new.
Keywords
Cite
@article{arxiv.1211.2391,
title = {Non-local Poisson structures and applications to the theory of integrable systems II},
author = {Alberto De Sole and Victor G. Kac},
journal= {arXiv preprint arXiv:1211.2391},
year = {2015}
}
Comments
55 pages