论文标题
在多组分系统中具有零优势增益的流氓波和模量不稳定性的形成与连贯的耦合
Formation of rogue waves and modulational instability with zero-wavenumber gain in multi-component systems with coherent coupling
论文作者
论文摘要
众所周知，流氓波（RWS）是由基带类型的模量不稳定性（MI）产生的。从用于三波谐振相互作用的Bers-Kaup-Reiman系统开始，我们基于MI确定了特定的RW构建机制，该机制包括增益频段中的零波数。一个必不可少的发现是，该机制仅在MI增益与消失的调节扰动的小波数之间的线性关系下起作用。相同的机制导致MI在大规模的横跨模型中的其他多组分系统中创建RW。
It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant interactions, we identify a specific RW-building mechanism based on MI which includes zero wavenumber in the gain band. An essential finding is that this mechanism works solely under a linear relation between the MI gain and a vanishingly small wavenumber of the modulational perturbation. The same mechanism leads to the creation of RWs by MI in other multi-component systems-in particular, in the massive Thirring model.
