We consider nonlocal symmetries that all or all even (all odd) equations of the AKNS hierarchy have. We construct examples of solutions simultaneously satisfying several nonlocal equations of the AKNS hierarchy. We present a detailed study of single-phase solutions.

中文翻译：

---

AKNS 层次方程的非局部对称约简的多相解：一般分析和最简单的例子

我们考虑 AKNS 层次结构的所有或所有偶数（所有奇数）方程具有的非局部对称性。我们构建了同时满足 AKNS 层次结构的几个非局部方程的解的例子。我们对单相解决方案进行了详细研究。