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.
Titolo: | On a class of third-order nonlocal Hamiltonian operators |
Autori: | |
Data di pubblicazione: | 2019 |
Rivista: | |
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. |
Handle: | http://hdl.handle.net/11587/426959 |
Appare nelle tipologie: | Articolo pubblicato su Rivista |
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