On a class of third-order nonlocal Hamiltonian operators

DOI10.1016/j.geomphys.2018.10.018zbMath1420.37049arXiv1805.00746OpenAlexW2798423408WikidataQ128962700 ScholiaQ128962700MaRDI QIDQ2416882

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

Publication date: 24 May 2019

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

Full work available at URL: https://arxiv.org/abs/1805.00746

zbMATH Keywords

Poisson vertex algebraDirac reductionMonge metricnonlocal Hamiltonian operator

Mathematics Subject Classification ID

Related Items (4)

Bi-Hamiltonian structure of the oriented associativity equation ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ Homogeneous Hamiltonian operators and the theory of coverings ⋮ WDVV equations: symbolic computations of Hamiltonian operators

Cites Work

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• Non-local Poisson structures and applications to the theory of integrable systems
• Linearly degenerate partial differential equations and quadratic line complexes
• Projective-geometric aspects of homogeneous third-order Hamiltonian operators
• Oriented associativity equations and symmetry consistent conjugate curvilinear coordinate nets
• Bi-Hamiltonian structure of equations of associativity in 2-d topological field theory
• Bi-Hamiltonian structure of a WDVV equation in \(2\)-d topological field theory
• Poisson vertex algebras in the theory of Hamiltonian equations
• On the bi-Hamiltonian geometry of WDVV equations
• New Integrable Nonlinear Evolution Equations
• Classical Algebraic Geometry
• Differential geometric Poisson bivectors in one space variable
• On third-order Poisson brackets of differential geometry
• Symplectic and Poisson structures on loop spaces of smooth manifolds, and integrable systems
• Towards the Classification of Homogeneous Third-Order Hamiltonian Operators: Table 1.
• On non-degenerate differential-geometric Poisson brackets of third order
• Alternative bi-Hamiltonian structures for WDVV equations of associativity

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