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On a class of third-order nonlocal Hamiltonian operators
journal contribution
posted on 2018-11-06, 13:37 authored by M. Casati, Evgeny FerapontovEvgeny Ferapontov, Maxim V. Pavlov, R.F. VitoloBased 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.
Funding
Matteo Casati was supported by the INdAM-Cofund-2012 Marie Curie fellowship ‘MPoisCoho’. Maxim Pavlov was partially supported by the RFBR grant 17-01-00366. Raffaele Vitolo recognises financial support from the Loughborough University’s Institute of Advanced Studies, LMS scheme 2 grant, INFN by IS-CSN4 Mathematical Methods of Nonlinear Physics, GNFM of Istituto Nazionale di Alta Matematica and Dipartimento di Matematica e Fisica “E. De Giorgi” of the Universit`a del Salento
History
School
- Science
Department
- Mathematical Sciences
Published in
Journal of Geometry and PhysicsCitation
CASATI, M. ... et al., 2018. On a class of third-order nonlocal Hamiltonian operators. Journal of Geometry and Physics, 138, pp.285-296.Publisher
© ElsevierVersion
- AM (Accepted Manuscript)
Publisher statement
This paper was accepted for publication in the journal Journal of Geometry and Physics and the definitive published version is available at https://doi.org/10.1016/j.geomphys.2018.10.018.Acceptance date
2018-10-29Publication date
2018-11-09ISSN
0393-0440Publisher version
Language
- en