Geodesic
Discrete Symmetries of the $n$-Wave Problem
Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 74-89

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We show that discrete symmetries $T$ of multicomponent integrable systems have a fine structure and can be represented as products of positive integer powers of pairwise commuting basis discrete transformations $T_i$. The calculations are completed for the $n$-wave problem.
Keywords: integrable mappings and chains, higher-dimensional integrable systems.
Mots-clés : discrete transformations, Darboux transformation 
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     title = {Discrete {Symmetries} of the $n${-Wave} {Problem}},
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A. N. Leznov. Discrete Symmetries of the $n$-Wave Problem. Teoretičeskaâ i matematičeskaâ fizika, Tome 132 (2002) no. 1, pp. 74-89. http://geodesic.mathdoc.fr/item/TMF_2002_132_1_a3/