Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
2009-12-12
SIGMA 6 (2010), 012, 6 pages
Nonlinear Sciences
Exactly Solvable and Integrable Systems
contribution to the Proc. of "Integrable Systems and Quantum Symmetries 2009", Prague, June 18-20, 2009
Scientific paper
10.3842/SIGMA.2010.012
We construct a Backlund 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.
Ragnisco Orlando
Zullo Federico
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