Twenty years of progresses in oceanic rogue waves: the role played by weakly nonlinear models

被引:19
|
作者
Onorato, Miguel [1 ]
Suret, Pierre [2 ]
机构
[1] Univ Turin, Dipartimento Fis, Via P Giuria 1, I-10125 Turin, Italy
[2] Univ Lille, UMR CNRS 8523, Lab Phys Lasers Atomes & Mol, Lille, France
关键词
Rogue waves; Freak waves; Nonlinear waves; DEEP-WATER; SEA STATES; KURTOSIS; DYNAMICS; SIMULATIONS; INSTABILITY; FIELD;
D O I
10.1007/s11069-016-2449-z
中图分类号
P [天文学、地球科学];
学科分类号
07 ;
摘要
Here we discuss some of the progresses that have been made in the last 20 years in the field of oceanic rogue waves, focusing on the role played by leading order equations such as the nonlinear Schrodinger and the Korteweg-De Vries equations. For such equations, it is possible, as shown in Onorato et al. (Origin of heavy tail statistics in equations of the nonlinear Schrodinger type: an exact result, 2016. arXiv:1601.04317), to derive a very simple relation in which the variation of the third (for the KdV) and fourth (for the NLS) moment of the probability density function of the wave field can be related to the variation of the spectral bandwidth. These relations give some new perspectives on the formation of rogue waves in a random sea state.
引用
收藏
页码:S541 / S548
页数:8
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