Non-local Hamiltonian structures and applications to the theory of integrable systems I
Mathematical Physics
2015-12-18 v1 math.MP
Rings and Algebras
Representation Theory
Abstract
We develop a rigorous theory of non-local Hamiltonian structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applicability of the Lenard-Magri scheme of integrability to a pair of compatible non-local Hamiltonian structures.
Keywords
Cite
@article{arxiv.1210.1688,
title = {Non-local Hamiltonian structures and applications to the theory of integrable systems I},
author = {Alberto De Sole and Victor G. Kac},
journal= {arXiv preprint arXiv:1210.1688},
year = {2015}
}
Comments
55 pages