The (2+1)-dimensional nonlocal breaking solitons AKNS hierarchy and the nonlocal negative order AKNS hierarchy are presented. Solutions in double Wronskian form of these two hierarchies are derived by means of a reduction technique from those of the unreduced hierarchies. The advantage of our method is that we start from the known solutions of the unreduced bilinear equations, and obtain solitons and multiple-pole solutions for the variety of classical and nonlocal reductions. Dynamical behaviors of some obtained solutions are illustrated. It is remarkable that for some real nonlocal equations, amplitudes of solutions are related to the independent variables that are reversed in the real nonlocal reductions.

中文翻译：

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非局部（2 + 1）-D破坏孤子层次和负阶AKNS层次的解

提出了（2 + 1）维非局部破坏孤子AKNS层次和非局部负序AKNS层次。这两个层次结构的双Wronskian形式的解是通过归约技术从未归约层次结构的解中得出的。我们方法的优点是，我们从未归约的双线性方程的已知解开始，并获得了各种经典和非局部归约的孤子和多极解。说明了一些获得的解决方案的动力学行为。值得注意的是，对于某些实数非局部方程，解的幅度与在实数非局部约简中反转的自变量有关。