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

Alberto De Sole; Victor G. Kac

arxiv: 1210.1688 · v1 · pith:GSTESEN5new · submitted 2012-10-05 · 🧮 math-ph · math.MP· math.RA· math.RT

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

Alberto De Sole , Victor G. Kac This is my paper

classification 🧮 math-ph math.MPmath.RAmath.RT

keywords non-localhamiltonianstructurestheoryalgebraapplicabilityapplicationapplications

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

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