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Backlund transformations for the sl(2) Gaudin magnet

A. N. W. Hone·V. B. Kuznetsov·O. Ragnisco
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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 2x2 Lax matrix.

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A. N. W. Hone, V. B. Kuznetsov, O. Ragnisco. 2000-12-15. Backlund transformations for the sl(2) Gaudin magnet. https://doi.org/10.1088/0305-4470%2F34%2F11%2F336

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