On the complete integrability of some Lax systems on 𝐺𝐿(𝑛,𝑅)×𝐺𝐿(𝑛,𝑅)

DOI10.1090/S0273-0979-1990-15961-0zbMath0714.58022OpenAlexW2009447718MaRDI QIDQ3200280

Luen-Chau Li

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1090/s0273-0979-1990-15961-0

zbMATH Keywords

Lie algebraLie groupPoisson bracketLiouville integrabilityLax system

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

The SVD flows on generic symplectic leaves are completely integrable

Cites Work

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• A continuous approximation to the generalized Schur decomposition
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• Dressing transformations and Poisson group actions