Toda systems and exponents of simple Lie groups

DOI10.1016/S0007-4497(00)01068-XzbMath1017.37028OpenAlexW2143354355WikidataQ115340661 ScholiaQ115340661MaRDI QIDQ5930050

Pantelis A. Damianou, Joana M. Nunes da Costa

Publication date: 20 January 2002

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0007-4497(00)01068-x

zbMATH Keywords

Lie groupsBogoyavlensky Toda latticemaster symmetriesPoisson bracketsrecursion operators

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Explicit solutions, first integrals of ordinary differential equations (34A05) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35)

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A simple construction of recursion operators for multidimensional dispersionless integrable systems ⋮ MULTIPLE HAMILTONIAN STRUCTURE OF BOGOYAVLENSKY–TODA LATTICES ⋮ Poisson quasi-Nijenhuis deformations of the canonical PN structure ⋮ From the Toda lattice to the Volterra lattice and back ⋮ On quadratic Poisson brackets ⋮ Integrable hierarchies and the modular class ⋮ On differential form method to find Lie symmetries of two types of Toda lattices

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