文章基本信息

标题：Extensions of Soliton equations to non-commutative (2 + 1) dimensions
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作者：K. Toda
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2002
卷号：2002
出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We report a strong method to generate various equations which have Lax representations on noncommutative (1 + 1) and (2 + 1)-dimensional spaces. The generated equations contain noncommutative integrable equations obtained by using bicomplex method and by reductions of noncommutative anti-self-dual Yang-Mills equation. This suggests that noncommutative Lax equations would be integrable.