INTEGRABLE MAPS FOR THE GARNIER AND FOR THE NEUMANN SYSTEM

Authors
RAGNISCO O RAUCHWOJCIECHOWSKI S
Citation
O. Ragnisco et S. Rauchwojciechowski, INTEGRABLE MAPS FOR THE GARNIER AND FOR THE NEUMANN SYSTEM, Journal of physics. A, mathematical and general, 29(5), 1996, pp. 1115-1124
Citations number
14
Categorie Soggetti
Physics
Journal title
Journal of physics. A, mathematical and general → ACNP
ISSN journal
03054470
Volume
29
Issue
5
Year of publication
1996
Pages
1115 - 1124
Database
ISI
SICI code
0305-4470(1996)29:5<1115:IMFTGA>2.0.ZU;2-W
Abstract
We construct integrable maps for the Gamier and for the Neumann system . They are related to the Toda hierarchy exactly in the same way as th e Gamier and the Neumann systems are related to the KdV hierarchy: as restricted flows. Here we give Lax representations for these maps and prove that they are completely integrable.