Three computational approaches to weakly nonlocal Poisson brackets

DOI10.1111/sapm.12302zbMath1478.37066arXiv1903.08204OpenAlexW3103369617MaRDI QIDQ5128760

Matteo Casati, Paolo Lorenzoni, Raffaele Vitolo

Publication date: 26 October 2020

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.08204

zbMATH Keywords

integrable systemssolitonspartial differential equationsPoisson vertex algebras

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Poisson algebras (17B63) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)

Related Items (6)

Projective-geometric aspects of bi-Hamiltonian structures of KdV type ⋮ Weakly nonlocal Poisson brackets: tools, examples, computations ⋮ Miura-reciprocal transformations and localizable Poisson pencils ⋮ Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures ⋮ WDVV equations and invariant bi-Hamiltonian formalism ⋮ WDVV equations: symbolic computations of Hamiltonian operators

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