Lie algebraic aspects of the finite nonperiodic Toda flows

DOI10.1016/j.cam.2005.09.034zbMath1120.37044OpenAlexW2070600188MaRDI QIDQ875348

Anthony M. Bloch, Michael I. Gekhtman

Publication date: 13 April 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2005.09.034

zbMATH Keywords

integrable systemsLie algebrasToda flow

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) Lattice dynamics; integrable lattice equations (37K60)

Related Items (4)

Explicit semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice ⋮ New method for constructing semi-invariants and integrals of the full symmetric \(\mathfrak{sl}_n\) Toda lattice ⋮ Networks of Hamiltonian systems and feedback ⋮ Multi‐Hamiltonian structure for the finite defocusing Ablowitz‐Ladik equation

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