1210.1688 (Alberto De Sole et al.)

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

Alberto De Sole, Victor G. Kac

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.

View original: http://arxiv.org/abs/1210.1688