Under investigation in this paper is a generalized Hirota-Maxwell-Bloch System, which describes the propagation of optical solitons in the erbium-doped medium. With symbolic computation, the generalized N-fold Darboux transformation (GDT) will be constructed. As the application of the GDT, some types of higher-order rogue waves will be presented accurately by choosing different parameters and dynamic behaviors of those rogue waves will be analyzed.

中文翻译：

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掺fibers光纤中广义Hirota-Maxwell-Bloch系统的高阶流浪解

本文正在研究一种广义的Hirota-Maxwell-Bloch系统，该系统描述了光学孤子在掺medium介质中的传播。通过符号计算，将构建广义的N折Darboux变换（GDT）。随着GDT的应用，可以通过选择不同的参数来准确呈现某些类型的高阶流氓波，并分析这些流氓波的动态行为。