2134/35764
M. Casati
M.
Casati
Evgeny Ferapontov
Evgeny
Ferapontov
Maxim V. Pavlov
Maxim V.
Pavlov
R.F. Vitolo
R.F.
Vitolo
On a class of third-order nonlocal Hamiltonian operators
Loughborough University
2018
Nonlocal Hamiltonian operator
Monge metric
Dirac reduction
Poisson vertex algebra
Mathematical Sciences not elsewhere classified
2018-11-06 13:37:32
Journal contribution
https://repository.lboro.ac.uk/articles/journal_contribution/On_a_class_of_third-order_nonlocal_Hamiltonian_operators/9377321
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.