Fine structure of the discrete transformation for multicomponent integrable systems
Abstract
It is shown that in the case of multicomponent integrable systems connected with algebras An, the discrete transformation T possesses the fine structure and can be represented in the form T=Π Tili, where Ti are n commuting basis discrete transformations, and li are arbitrary natural numbers. All the calculations are conducted in detail for the case of a 3-wave interacting system.
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