We consider a long - range homogeneous chain where the local variables are the generators of the direct sum of N e( 3) interacting Lagrange tops. We call this classical integrable model rational "Lagrange chain" showing how one can obtain it starting from su(2) rational Gaudin models. Moreover we construct one- and two - point integrable maps ( Backlund transformations).
Musso, F., Petrera, M., Ragnisco, O., Satta, G. (2005). Backlund transformations for the rational Lagrange chain RID A-7283-2010. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 12, 240-252 [10.2991/jnmp.2005.12.Supplement 2.18].
Backlund transformations for the rational Lagrange chain RID A-7283-2010
RAGNISCO, Orlando;
2005-01-01
Abstract
We consider a long - range homogeneous chain where the local variables are the generators of the direct sum of N e( 3) interacting Lagrange tops. We call this classical integrable model rational "Lagrange chain" showing how one can obtain it starting from su(2) rational Gaudin models. Moreover we construct one- and two - point integrable maps ( Backlund transformations).File in questo prodotto:
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