We study the effects of increasing modulation instability and disorder on the onset times of rogue waves in waveguide arrays as described by the discrete unstable nonlinear Schrödinger equation (UNLSE). We analytically determine regions of instability, where rogue waves are likely to occur in the UNLSE, and then use numerical techniques to study the time evolution of these systems. Only for small modulation instability is the effect of fluctuations prominent on the onset times; otherwise, we find that large modulation instability dominates the onset time behavior.

中文翻译：

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光波导阵列中长寿命无赖波的开始时间

正如离散非线性非线性薛定unstable方程（UNLSE）所描述的，我们研究了调制不稳定性和无序性对波导管阵列中无赖波开始时间的影响。我们通过分析确定不稳定的区域，在UNLSE中可能会出现流氓波，然后使用数值技术研究这些系统的时间演化。仅对于较小的调制不稳定性，波动的影响才会在开始时间出现。否则，我们发现较大的调制不稳定性主导着启动时间行为。