Multi-Hamiltonian structures for a class of degenerate completely integrable systems

DOI10.1063/1.531543zbMath0864.58024OpenAlexW2080668806MaRDI QIDQ5284246

Peter Bueken

Publication date: 6 July 1997

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531543

zbMATH Keywords

Poisson structurecompletely integrable systemsgeneralized master systemsmulti-Hamiltonian formulation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

Cites Work

• Master symmetries and r-matrices for the Toda lattice
• Linearising two-dimensional integrable systems and the construction of action-angle variables
• Geometry of bi-Hamiltonian systems
• Completely integrable bi-Hamiltonian systems
• R-matrices and higher Poisson brackets for integrable systems
• How to construct finite-dimensional bi-Hamiltonian systems from soliton equations: Jacobi integrable potentials
• A simple model of the integrable Hamiltonian equation

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