Projective-geometric aspects of homogeneous third-order Hamiltonian operators

DOI10.1016/j.geomphys.2014.05.027zbMath1321.37071arXiv1401.7235OpenAlexW2030416224WikidataQ57555685 ScholiaQ57555685MaRDI QIDQ741103

Raffaele Vitolo, Evgeny V. Ferapontov, Maxim P. Pavlov

Publication date: 10 September 2014

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7235

zbMATH Keywords

Jacobi identityHamiltonian operatorprojective groupreciprocal transformationMonge metricquadratic complex

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) Projective differential geometry (53A20)

Related Items

On deformations of one-dimensional Poisson structures of hydrodynamic type with degenerate metric ⋮ Classification of degenerate non-homogeneous Hamiltonian operators ⋮ Bi-Hamiltonian structure of the oriented associativity equation ⋮ Systems of conservation laws with third-order Hamiltonian structures ⋮ On a class of third-order nonlocal Hamiltonian operators ⋮ Projective geometry of homogeneous second-order Hamiltonian operators ⋮ Projective-geometric aspects of bi-Hamiltonian structures of KdV type ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Bi-Hamiltonian structures of KdV type ⋮ Computing with Hamiltonian operators ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Remarks on the Lagrangian representation of bi-Hamiltonian equations ⋮ Homogeneous Hamiltonian operators and the theory of coverings ⋮ Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures ⋮ WDVV equations: symbolic computations of Hamiltonian operators ⋮ On the bi-Hamiltonian geometry of WDVV equations

Uses Software

• REDUCE
• CDIFF

Cites Work

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