Backlund transformations for the sl(2) Gaudin magnet

Details Backlund transformations for the sl(2) Gaudin magnet Backlund transformations for the sl(2) Gaudin magnet

2000-07-29

arxiv.org/abs/nlin/0007041v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

17 pages, LaTeX, refs added

Scientific paper

10.1088/0305-4470/34/11/336

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 2x2 Lax matrix.

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