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Bäcklund transformations for the rational Lagrange chain

Fabio Musso·Matteo Petrera·Orlando Ragnisco·Giovanni Satta
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Abstract

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 (Bäcklund transformations).

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Fabio Musso, Matteo Petrera, Orlando Ragnisco, Giovanni Satta. 2004-12-06. Bäcklund transformations for the rational Lagrange chain. https://doi.org/10.2991/jnmp.2005.12.s2.18

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