Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions

DOI10.1090/memo/0479zbMath0770.34005OpenAlexW2025706093MaRDI QIDQ4024283

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

Publication date: 19 April 1993

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

Full work available at URL: https://doi.org/10.1090/memo/0479

zbMATH Keywords

Euler-Lagrange equationsdiscrete systemsloop grouptime-one mapsbilliard ball problem in an elliptical regiondiscrete Euler-Arnold topintegrable Hamiltonian flowsLie-algebraic interpretation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Matrix equations and identities (15A24) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Additive difference equations (39A10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to global analysis (58-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to ordinary differential equations (34-01) Lagrange's equations (70H03)

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