On a class of third-order nonlocal Hamiltonian operators
Mathematical Physics
2019-05-16 v1 Differential Geometry
math.MP
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.1805.00746,
title = {On a class of third-order nonlocal Hamiltonian operators},
author = {M. Casati and E. V. Ferapontov and M. V. Pavlov and R. F. Vitolo},
journal= {arXiv preprint arXiv:1805.00746},
year = {2019}
}
Comments
19 pages