Backlund transformations for the sl(2) Gaudin magnet
Exactly Solvable and Integrable Systems
2009-10-31 v2
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.
Cite
@article{arxiv.nlin/0007041,
title = {Backlund transformations for the sl(2) Gaudin magnet},
author = {A. N. W. Hone and V. B. Kuznetsov and O. Ragnisco},
journal= {arXiv preprint arXiv:nlin/0007041},
year = {2009}
}
Comments
17 pages, LaTeX, refs added