Noncommutative AKNS equation hierarchy and its integrable couplings with Kronecker product

作者：Yu Fa Jun^*

来源：Chinese Physics Letters, 2008, 25(2): 359-362.

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.

• 出版日期2008-2
• 单位沈阳师范大学