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Integrable discretizations of the spin Ruijsenaars-Schneider models

O. Ragnisco·Yu. B. Suris
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Abstract

Integrable discretizations are introduced for the rational and hyperbolic spin Ruijsenaars--Schneider models. These discrete dynamical systems are demonstrated to belong to the same integrable hierarchies as their continuous--time counterparts. Explicit solutions are obtained for arbitrary flows of the hierarchies, including the discrete time ones.

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O. Ragnisco, Yu. B. Suris. 1996-05-03. Integrable discretizations of the spin Ruijsenaars-Schneider models. https://doi.org/10.1063/1.532114

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