On stable solutions of the finite non-periodic Toda lattice

DOI10.1016/j.crma.2012.10.020zbMath1263.37076OpenAlexW2088260066MaRDI QIDQ694693

Kaoru Ikeda

Publication date: 13 December 2012

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2012.10.020

zbMATH Keywords

Toda latticeGauss decomposition

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30)

Cites Work

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• The monoidal transformation by Painlevé divisor and resolution of the poles of the Toda lattice
• Theory of nonlinear lattices
• Variétés de drapeaux et réseaux de Toda. (Flag manifolds and Toda lattices)
• On the Toda Lattice. II: Inverse-Scattering Solution
• The Toda lattice. II. Existence of integrals

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