Local Emergence of Peregrine Solitons: Experiments and Theory
Local Emergence of Peregrine Solitons: Experiments and Theory
复制标题
DOI：
10.3389/fphy.2020.599435
复制
发表时间：
2020-11
期刊：
影响因子：
--
通讯作者：
A. Tikan;S. Randoux;G. El;A. Tovbis;F. Copie;P. Suret
中科院分区：
文献类型：
--
作者：
A. Tikan;S. Randoux;G. El;A. Tovbis;F. Copie;P. Suret
分析表明，游隼孤子是从一维聚焦非线性薛定谔方程的所谓半经典极限中的通用机制中局部出现的。实验上，该极限对应于强非线性区域，其中色散比初始时间的非线性弱得多。我们在这里回顾在不同实验平台上获得的这种现象的证据。特别是，在涉及单脉冲或部分相干波的光纤实验中已经证明了局部表现出游隼孤子行为的相干结构的自发出现。我们还回顾了理论和数值结果，显示了这种现象与重尾统计数据（流氓波）的出现之间的联系。
It has been shown analytically that Peregrine solitons emerge locally from a universal mechanism in the so-called semiclassical limit of the one-dimensional focusing nonlinear Schrödinger equation. Experimentally, this limit corresponds to the strongly nonlinear regime where the dispersion is much weaker than nonlinearity at initial time. We review here evidences of this phenomenon obtained on different experimental platforms. In particular, the spontaneous emergence of coherent structures exhibiting locally the Peregrine soliton behavior has been demonstrated in optical fiber experiments involving either single pulse or partially coherent waves. We also review theoretical and numerical results showing the link between this phenomenon and the emergence of heavy-tailed statistics (rogue waves).