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Bäcklund Transformations for the Kirchhoff Top
Orlando Ragnisco, Federico Zullo
We construct Bäcklund transformations (BTs) for the Kirchhoff top by taking advantage of the common algebraic Poisson structure between this system and the trigonometric Ga…
Bäcklund Transformations as exact integrable time-discretizations for the trigonometric Gaudin model
O. Ragnisco, F. Zullo
We construct a two-parameter family of Bäcklund transformations for the trigonometric classical Gaudin magnet. The approach follows closely the one introduced by E.Sklyanin and V.K…
Bäcklund Transformations for the Trigonometric Gaudin Magnet
Orlando Ragnisco, Federico Zullo
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…
Continuous and Discrete (Classical) Heisenberg Spin Chain Revised
Orlando Ragnisco, Federico Zullo
Most of the work done in the past on the integrability structure of the Classical Heisenberg Spin Chain (CHSC) has been devoted to studying the case, both at the continuous…