On the Complete Integrability of some Lax Equations on a Periodic Lattice

DOI10.1090/S0002-9947-97-01729-7zbMath0868.58045OpenAlexW1520482670MaRDI QIDQ5690978

Luen-Chau Li

Publication date: 9 January 1997

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01729-7

zbMATH Keywords

factorizationcomplete integrabilityaction-angle variablesLax equationsperiodic lattice

Mathematics Subject Classification ID

Numerical computation of eigenvalues and eigenvectors of matrices (65F15) 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) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (4)

The SVD flows on generic symplectic leaves are completely integrable ⋮ The Toda flow on Hessenberg elements of real, split simple Lie algebras ⋮ The periodic defocusing Ablowitz-Ladik equation and the geometry of Floquet CMV matrices ⋮ A finite dimensional integrable system arising in the study of shock clustering

This page was built for publication: On the Complete Integrability of some Lax Equations on a Periodic Lattice