Weakly nonlocal Poisson brackets: tools, examples, computations

DOI10.1016/j.cpc.2022.108284arXiv2101.06467OpenAlexW3125023451MaRDI QIDQ6102048

Raffaele Vitolo, Daniele Valeri, Paolo Lorenzoni, Matteo Casati

Publication date: 20 June 2023

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.06467

zbMATH Keywords

integrable systemsPoisson bracketpartial differential equationsHamiltonian operatorSchouten bracket

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX) Computer science (68-XX)

Related Items (4)

Projective-geometric aspects of bi-Hamiltonian structures of KdV type ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Quasilinear systems of first order PDEs with nonlocal Hamiltonian structures ⋮ 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
• On the integrability conditions for some structures related to evolution differential equations
• Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman
• MasterPVA and WAlg: Mathematica packages for Poisson vertex algebras and classical affine \(\mathcal{W}\)-algebras
• A bi-Hamiltonian approach to the Sine-Gordon and Liouville hierarchies
• WDVV equations and invariant bi-Hamiltonian formalism
• Poisson vertex algebras in the theory of Hamiltonian equations
• Weakly nonlocal Poisson brackets, Schouten brackets and supermanifolds
• Computing with Hamiltonian operators
• Non-local Hamiltonian operators of hydrodynamic type related to metrics of constant curvature
• A simple model of the integrable Hamiltonian equation
• Towards the Classification of Homogeneous Third-Order Hamiltonian Operators: Table 1.
• Three computational approaches to weakly nonlocal Poisson brackets
• A List of 1 + 1 Dimensional Integrable Equations and Their Properties
• Dynamical systems. IV. Symplectic geometry and its applications. Transl. from the Russian by G. Wassermann.
• On the local systems Hamiltonian in the weakly non-local Poisson brackets

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