2009/12/31 by O. Ragnisco, Orlando Ragnisco, Federico Zullo · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.3842/sigma.2010.012
published as SIGMA 6 (2010), 012, 6 pages · contribution to the Proc. of "Integrable Systems and Quantum Symmetries 2009", Prague, June 18-20, 2009
arxiv created 2010/01/29 · openalex publication_date 2010/01/29 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We construct a Bcklund transformation for the trigonometric classical Gaudin magnet starting from the Lax representation of the model. The Darboux dressing matrix obtained depends just on one set of variables because of the so-called spectrality property introduced by E. Sklyanin and V. Kuznetsov. In the end we mention some possibly interesting open problems.