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.
Non-local Hamiltonian structures and applications to the theory of integrable systems I / DE SOLE, Alberto; Victor G., Kac. - ELETTRONICO. - (2012), pp. 1-55.
Non-local Hamiltonian structures and applications to the theory of integrable systems I
DE SOLE, ALBERTO;
2012
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.File allegati a questo prodotto
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