Under investigation in this paper is the AB system, which is used to describe the baroclinic instability processes in the geophysical flows. With the generalized Darboux transformation, the $N$th-order ($N=1,2,3,\dots$) rogue wave solutions of the AB system are obtained via the determinants. It is found that the rogue waves can be split into several small ones with the proper parameter selections, and moreover within the splits the maximum peak values of the rogue waves remain unchanged. Besides, we demonstrate that the configurations of the split rogue waves become adjustable.

中文翻译：

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行列式确定AB系统的N阶无序波

本文正在研究的是AB系统，该系统用于描述地球物理流中的斜压不稳定过程。通过广义的Darboux变换，$ñ$三阶（$ñ=\mathrm{1个}，2，3，\dots$通过行列式获得AB系统的流浪解。已经发现，可以通过适当的参数选择将无赖波分成几个小波，并且在该分裂内，无赖波的最大峰值保持不变。此外，我们证明了分裂无赖波的配置变得可调。