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Sato-theoretic construction of solutions to noncommutative integrable systems
Authors:Kenichi Kondo
Affiliation:Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, Tokyo 153-8914, Japan
Abstract:Solutions to noncommutative version of KP and discrete KP equations are given by Sato-theoretic construction, which utilizes operator factorization. Noncommutative generalization of discrete KdV and two-dimensional Toda equations are also given.
Keywords:Noncommutative KP equation   Noncommutative discrete KP equation   Sato theory   KdV   Toda
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