Twenty years of progresses in oceanic rogue waves: the role played by weakly nonlinear models
Twenty years of progresses in oceanic rogue waves: the role played by weakly nonlinear models
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DOI：
10.1007/s11069-016-2449-z
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发表时间：
2016-07
期刊：
影响因子：
3.7
通讯作者：
M. Onorato;P. Suret
中科院分区：
文献类型：
--
作者：
M. Onorato;P. Suret
本文讨论了近20年来在海洋异常波研究领域中取得的一些进展，重点讨论了非线性薛定谔方程和Korteweg-De弗里斯方程等高阶方程所起的作用。对于这样的方程，这是可能的，如Onorato等人所示。（非线性薛定谔方程中重尾统计的起源：一个精确的结果，2016年。arXiv：1601.04317），推导出一个非常简单的关系，其中波场概率密度函数的三阶矩（对于KdV）和四阶矩（对于NLS）的变化可以与谱带宽的变化相关。这些关系提供了一些新的观点在随机海况下的流氓波的形成。
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 Schrödinger 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 Schrödinger type: an exact result, 2016. arXiv:1601.04317), to derive a very simple relation in which the variation of the third (for theKdV) 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.