The Toda flow on a generic orbit is integrable

DOI10.1090/S0273-0979-1984-15311-4zbMath0552.58017OpenAlexW1970797460MaRDI QIDQ3345468

Luen-Chau Li, Carlos Tomei, T. Nanda, Percy A. Deift

Publication date: 1984

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0273-0979-1984-15311-4

zbMATH Keywords

coadjoint orbitscompletely integrable systemToda flowintegral of a flowtriangular matrix group

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) Dynamics induced by flows and semiflows (37C10)

Cites Work

• Hamiltonian group actions and integrable systems
• The solution to a generalized Toda lattice and representation theory
• On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
• Toda flows with infinitely many variables
• Ordinary Differential Equations and the Symmetric Eigenvalue Problem
• The Toda lattice. II. Existence of integrals

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