Integrable maps for the Garnier and for the Neumann system

DOI10.1088/0305-4470/29/5/024zbMath0926.37018OpenAlexW2012287382MaRDI QIDQ4229713

Stefan Rauch-Wojciechowski, Orlando Ragnisco

Publication date: 28 November 1999

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/29/5/024

zbMATH Keywords

KdV hierarchyintegrable mapsToda hierarchyLax representations

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (6)

INTEGRABLE DISCRETIZATIONS FOR LATTICE SYSTEM: LOCAL EQUATIONS OF MOTION AND THEIR HAMILTONIAN PROPERTIES ⋮ Integrable deformations of integrable symplectic maps ⋮ Automorphisms of \(\text{sl}(2)\) and classical integrable systems ⋮ The nonlinearized eigenvalue problem of the Toda hierarchy in the Lie-Poisson framework ⋮ The Lie-Poisson representation of the nonlinearized eigenvalue problem of the Kac-van Moerbeke hierarchy ⋮ Mechanical systems related to the Schrödinger spectral problem.

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