Transverse Instability of Rogue Waves
Transverse Instability of Rogue Waves
复制标题
异常波的横向不稳定性
DOI：
10.1103/physrevlett.127.104101
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发表时间：
2021
影响因子：
8.6
通讯作者：
Cole, Justin T.
中科院分区：
文献类型：
--
作者：
Ablowitz, Mark J.;Cole, Justin T.
流氓波是一种意外出现的异常巨浪，近年来引起了人们的广泛关注。一个空间，一个时间（）非线性薛定谔方程经常被用来模拟流氓波;它是平面波的包络描述，并承认所谓的Pergerine和Kuznetov-Ma孤子解。然而，在深水波和某些电磁系统中，有两个重要的横向尺寸，双曲非线性薛定谔方程是适当的波包络描述。在这里，我们表明，这些流氓波的解决方案遭受强烈的横向不稳定性在longandshortfrequencies。此外，还发现孤立子的稳定性与背景平面波的稳定性一致。这些结果表明，在适用的情况下，横向尺寸必须考虑调查流氓波现象。
Rogue waves are abnormally large waves which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, one time () nonlinear Schrödinger equation is often used to model rogue waves; it is an envelope description of plane waves and admits the so-called Pergerine and Kuznetov-Ma soliton solutions. However, in deep water waves and certain electromagnetic systems where there are two significant transverse dimensions, thehyperbolic nonlinear Schrödinger equation is the appropriate wave envelope description. Here we show that these rogue wave solutions suffer from strong transverse instability at longandshort frequencies. Moreover, the stability of the Peregrine soliton is found to coincide with that of the background plane wave. These results indicate that, when applicable, transverse dimensions must be taken into account when investigating rogue wave pheneomena.