Noncommutative AKNS equation hierarchy and its integrable couplings with Kronecker product

被引：6

作者：

College of Mathematics and Systematic Science, Shenyang Normal University, Shenyang 110034, China ^{[1
]}

机构：

[1] College of Mathematics and Systematic Science, Shenyang Normal University

来源：

Chin. Phys. Lett. | 2008年 / 2卷 / 359-362期

关键词：

D O I：

10.1088/0256-307X/25/2/003

中图分类号：

学科分类号：

摘要：

We present a noncommutative version of the Ablowitz-Kaup-Newell-Segur (AKNS) equation hierarchy which possesses the zero curvature representation. Furthermore, we derive the noncommutative AKNS equation from the noncommutative (anti-)self-dual Yang-Mills equation by reduction, which is an evidence for the noncommutative Ward conjecture. Finally, the integrable coupling system of the noncommutative AKNS equation hierarchy is constructed by using the Kronecker product. © 2008 Chinese Physical Society and IOP Publishing Ltd.

引用

页码：359 / 362

页数：3

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