A discrete nonlinear transmission network with dispersive element is considered. It is shown that the dynamics of slowly modulated waves propagating in this network are governed by a generalized cubic-quintic nonlinear Schrödinger equation with self-steepening and self-frequency shift. Through the baseband modulational instability (MI) analysis, the conditions for this network to support the propagation of chirped super rogue waves (SRWs) are obtained. Based on the analytical rational solutions of the governed equation, chirped first- and second-order super rogue waves are engineered in the nonlinear transmission network under consideration. The effects of the dispersive elements of the network on the chirped SRWs propagating in the network system are investigated. Particularly, it is shown that the introduction of the dispersive linear capacitance of the network enhances the baseband MI and both the derived SRWs and the corresponding frequency chirp are localized in both time and space. It is also shown that the structure of the frequency chirp depends strongly on the pulse self-steepening and self-frequency shift.

中文翻译：

---

具有色散元素的非线性传输网络中的相位工程啁啾超级无赖波

考虑了具有色散元件的离散非线性传输网络。结果表明，在该网络中传播的缓慢调制波的动力学由具有自陡峭和自频移的广义三次-五次非线性薛定谔方程控制。通过基带调制不稳定性 (MI) 分析，获得了该网络支持啁啾超级流氓波 (SRW) 传播的条件。基于控制方程的解析有理解，在所考虑的非线性传输网络中设计了啁啾一阶和二阶超无赖波。研究了网络的色散元素对在网络系统中传播的啁啾 SRW 的影响。特别，结果表明，网络的色散线性电容的引入增强了基带 MI，并且导出的 SRW 和相应的频率啁啾在时间和空间上都局部化。还表明，频率啁啾的结构强烈依赖于脉冲自陡峭和自频移。