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arXiv · 1210.1688

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

Alberto De Sole·Victor G. Kac
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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.

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Alberto De Sole, Victor G. Kac. 2012-10-05. Non-local Hamiltonian structures and applications to the theory of integrable systems I. https://arxiv.org/abs/1210.1688

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