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Fine structure of the discrete transformation for multicomponent integrable systems

A. N. Leznov·J. Escobedo-Alatorre·R. Torres-Cordoba
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Abstract

It is shown that in the case of multicomponent integrable systems connected with algebras $A_n$, the discrete transformation $T$ possesses the fine structure and can be represented in the form $T=\prod T_i^{l_i}$, where $T_i$ are n commuting basis discrete transformations, and $l_i$ are arbitrary natural numbers. All the calculations are conducted in detail for the case of a 3-wave interacting system.

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A. N. Leznov, J. Escobedo-Alatorre, R. Torres-Cordoba. 2003-10-31. Fine structure of the discrete transformation for multicomponent integrable systems. https://doi.org/10.2991/jnmp.2003.10.2.7

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