arXiv:0912.2456

B\"acklund Transformations for the trigonometric Gaudin magnet: first results

O. Ragnisco, Federico Zullo

Published Dec 12, 2009• 0 citations

Abstract

A terse derivation of elementary Backlund Transformations (BTs) for the trigonometric Gaudin magnet is presented. It is shown how the so-called spectrality property (introduced by Sklyanin and Kuznetsov) enables to write BTs an an explicit map between old and new dynamical variables.

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