arXiv:1210.1688 Abstract | arXiv Analytics

arXiv:1210.1688 [math-ph]Abstract References Reviews Resources

Non-local Hamiltonian structures and applications to the theory of integrable systems I

Published 2012-10-05Version 1

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.

Comments: 55 pages

Categories: math-ph, math.MP, math.RA, math.RT

Subjects: 37K10, 35Q53, 17B80, 17B69, 37K30, 17B63

Keywords: integrable systems, application, non-local poisson vertex algebra, compatible non-local hamiltonian structures, lenard-magri scheme

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