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 number of differential- geometric constraints. Complete classification results in the 2-component and 3- component cases are obtained.
On a class of third-order nonlocal Hamiltonian operators
R. F. Vitolo
2019-01-01
Abstract
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 number of differential- geometric constraints. Complete classification results in the 2-component and 3- component cases are obtained.File in questo prodotto:
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