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

Hone, Andrew N.W.

Kuznetsov, Vadim B.

Ragnisco, Orlando

English

Kent Academic Repository

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Backlund transformations for the sl(2) Gaudin magnet

http://kar.kent.ac.uk/41495/1/0007041v2.pdf

Backlund transformations for the sl(2) Gaudin magnet

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