Bäcklund transformations for the rational Lagrange chain

Details Bäcklund transformations for the rational Lagrange chain Bäcklund transformations for the rational Lagrange chain

2004-12-06

arxiv.org/abs/nlin/0412017v1

SIDE VI - Symmetry and Integrability of Difference Equations (conference held in Finland, June 2004)

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

We consider a long--range homogeneous chain where the local variables are the generators of the direct sum of $N$ $\mathfrak{e}(3)$ interacting Lagrange tops. We call this classical integrable model rational ``Lagrange chain'' showing how one can obtain it starting from $\mathfrak{su}(2)$ rational Gaudin models. Moreover we construct one- and two--point integrable maps (B\"acklund transformations).

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