Backlund transformations for the sl(2) Gaudin magnet
A. N. W. Hone, V. B. Kuznetsov, O. Ragnisco
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.
Create a lesson
Related papers
Nonlinear Spectral Computing
Ludovica Falsi, Francesco Coppini, Claudio Conti
The Riemann theta function near soliton limit
Yuji Kodama
Correlation functions of the 19-vertex IRF model and its integrable quantum spin-1 chain
T. S. Tavares, H. B. Abreu, G. A. P. Ribeiro
A novel extension of the canonical 2+1-dimensional Dym equation. Moving boundary problems solvable via Painleve' II Reduction
Colin Rogers, Sandra Carillo
A solution to the quantum Yang--Baxter equation associated with a universal two-valued algebraic group
Victor M. Buchstaber
Asymptotic behavior analysis of solutions to the Heisenberg ferromagnet equation with the Schwartz initial data
Xumeng Zhou, Xianguo Geng, Bo Xue