On a class of third-order nonlocal Hamiltonian operators

Based on the theory of Poisson vertex algebras we calculate skew-symmetry conditions and Jacobi identities for a class of third-order nonlocal operators of differential-geometric type. Hamiltonian operators within this class are defined by a Monge metric and a skew-symmetric two-form satisfying a nu...

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Bibliographic Details
Main Authors: M. Casati, Evgeny Ferapontov, Maxim V. Pavlov, R.F. Vitolo
Format: Default Article
Published: 2018
Subjects:
Other mathematical sciences not elsewhere classified
Nonlocal Hamiltonian operator
Monge metric
Dirac reduction
Poisson vertex algebra
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/35764
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