# Backlund transformations for the sl(2) Gaudin magnet

Hone, Andrew N.W., Kuznetsov, Vadim B., Ragnisco, Orlando (2001) Backlund transformations for the sl(2) Gaudin magnet. Journal of Physics A: Mathematical and General, 34 (11). pp. 2477-2490. ISSN 0305-4470.

## 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.

Item Type: Article Q Science > QA Mathematics (inc Computing science) > QA372 Ordinary differential equationsQ Science > QA Mathematics (inc Computing science) > QA801 Analytic mechanics Faculties > Sciences > School of Mathematics Statistics and Actuarial Science Andrew N W Hone 21 Jun 2014 22:19 UTC 29 May 2019 12:42 UTC https://kar.kent.ac.uk/id/eprint/41495 (The current URI for this page, for reference purposes)