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 the 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.
Ragnisco, O., Rauchwojciechowski, S. (1996). Integrable maps for the Garnier and for the Neumann system. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 29(5), 1115-1124 [10.1088/0305-4470/29/5/024].
Integrable maps for the Garnier and for the Neumann system
RAGNISCO, Orlando;
1996-01-01
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 the 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.File in questo prodotto:
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