Non-local Hamiltonian structures and applications to the theory of integrable systems I
De Sole, Alberto · Kac, Victor G.
Mathematical Physics
Rings and Algebras
Representation Theory
37K10 (Primary) 35Q53, 17B80, 17B69, 37K30, 17B63 (Secondary)
Original · EN
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.
English translation
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