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On a class of third-order nonlocal Hamiltonian operators

  • Published:2019-04 Issue: Volume:138 Page:285-296
  • ISSN:0393-0440
  • Container-title:Journal of Geometry and Physics
  • language:en
  • Short-container-title:Journal of Geometry and Physics

Author:

Casati M.,Ferapontov E.V.,Pavlov M.V.,Vitolo R.F.ORCID

Funder

INdAM-Cofund-2012 Marie Curie fellowship ‘MPoisCoho’

RFBR

the Loughborough University’s Institute of Advanced Studies, LMS scheme 2

INFN

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference26 articles.

1. On non-degenerate differential–geometric poisson brackets of third order;Balandin;Russian Math. Surveys,2001

2. Poisson vertex algebras in the theory of hamiltonian equations;Barakat;Jpn. J. Math.,2009

3. Non-local poisson structures and applications to the theory of integrable systems;De Sole;Jpn. J. Math.,2013

4. Classical Algebraic Geometry. A Modern View;Dolgachev,2012

5. Differential geometric poisson bivectors in one space variable;Doyle;J. Math. Phys.,1993

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. WDVV equations: symbolic computations of Hamiltonian operators;Applicable Algebra in Engineering, Communication and Computing;2022-07-14

2. WDVV equations and invariant bi-Hamiltonian formalism;Journal of High Energy Physics;2021-08

3. Homogeneous Hamiltonian operators and the theory of coverings;Differential Geometry and its Applications;2021-04

4. Three computational approaches to weakly nonlocal Poisson brackets;Studies in Applied Mathematics;2020-02-20

5. Computing with Hamiltonian operators;Computer Physics Communications;2019-11
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