Integrability condition and finite-periodic Toda lattice

DOI10.1063/1.528691zbMath0718.58030OpenAlexW2010432899MaRDI QIDQ5750006

Susumu Okubo

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528691

zbMATH Keywords

periodic Toda latticecompletely integrable dynamical systemsNijenhuis tensorscompatible symplectic structures

Mathematics Subject Classification ID

Differential geometric aspects in vector and tensor analysis (53A45) 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)

Related Items (5)

R-matrix theory, formal Casimirs and the periodic Toda lattice ⋮ Continuous integrable systems with multi-Poisson brackets ⋮ Existence of gauge field in any partially integrable systems ⋮ Poisson quasi-Nijenhuis deformations of the canonical PN structure ⋮ Poisson quasi-Nijenhuis manifolds and the Toda system

Cites Work

• Reduction techniques for infinite-dimensional Hamiltonian systems: some ideas and applications
• Hamiltonian operators and algebraic structures related to them
• Periodic solutions of the KdV equation

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