Applications of Nijenhuis geometry. III: Frobenius pencils and compatible non-homogeneous Poisson structures
DOI10.1007/s12220-023-01237-6zbMath1518.37070arXiv2112.09471OpenAlexW4366185771MaRDI QIDQ6157813
Andrey Yu. Konyaev, Alexei V. Bolsinov, Vladimir S. Matveev
Publication date: 12 May 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2112.09471
Frobenius algebrasNijenhuis operatorscompatible Poisson bracketsdispersive perturbationdifferential geometric Poisson bracketsintegrable PDE systems
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with topology, geometry and differential geometry (37K25) General theory of infinite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, conservation laws (37K06)
Related Items (6)
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