Bäcklund Transformations for the Trigonometric Gaudin Magnet

Symmetry Integrability and Geometry-Methods and Applications

article

Orlando Ragnisco¹  Federico Zullo¹ 

[1] Dipartimento di Fisica Universitá Roma Tre and Istituto Nazionale di Fisica Nucleare

关键词: B¨acklund transformations;    integrable maps;    Gaudin systems;   

DOI  :  10.3842/SIGMA.2010.012

来源: National Academy of Science of Ukraine

【 摘 要 】

We construct a Bäcklund 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.

【 授权许可】

Unknown