Stationary coupled KdV hierarchies and related Poisson structures

DOI10.1016/j.geomphys.2023.105079arXiv2307.03294MaRDI QIDQ6146393

Qing Huang, Allan P. Fordy

Publication date: 5 February 2024

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

Full work available at URL: https://arxiv.org/abs/2307.03294

zbMATH Keywords

Hamiltonian systemPoisson matrixstationary flowbi-Hamiltoniansuper-integrabilitycoupled KdV

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Completely integrable systems and methods of integration for problems in Hamiltonian and Lagrangian mechanics (70H06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Cites Work

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• Classical and quantum superintegrability with applications
• Integrable and superintegrable extensions of the rational Calogero–Moser model in three dimensions

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