Elementary, one- and two-point, Backlund transformations are constructed for the generic case of the sl(2) Gaudin magnet. The spectrality property is used to construct these explicitly given, Poisson integrable maps which are time discretizations of the continuous flows with any Hamiltonian from the spectral curve of the 2 x 2 Lax matrix.
Hone, A., Kuznetsov, V.b., Ragnisco, O. (2001). Backlund transformations for the sl(2) Gaudin magnet. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 34(11), 2477-2490 [10.1088/0305-4470/34/11/336].
Backlund transformations for the sl(2) Gaudin magnet
RAGNISCO, Orlando
2001-01-01
Abstract
Elementary, one- and two-point, Backlund transformations are constructed for the generic case of the sl(2) Gaudin magnet. The spectrality property is used to construct these explicitly given, Poisson integrable maps which are time discretizations of the continuous flows with any Hamiltonian from the spectral curve of the 2 x 2 Lax matrix.File in questo prodotto:
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