Rogue waves: analytical predictions
Rogue waves: analytical predictions
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DOI：
10.1098/rspa.2013.0094
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发表时间：
2013-09-08
影响因子：
3.5
通讯作者：
Tovbis, A.
中科院分区：
文献类型：
--
作者：
Grimshaw, R. H. J.;Tovbis, A.
在海洋和其他地方观测到的异常波通常由非线性薛定谔方程的某些解来模拟，描述平面波的调制不稳定性和随后的多相非线性波系的发展。在本文中，我们描述了如何利用逆散射变换的可积性和应用来构造一类描述这一过程的显式渐近解。我们通过连续的多呼吸波序列讨论了多相非线性波（异常波）发生的普遍机制。介绍了在海浪和实验室实验中的一些应用。
Rogue waves observed in the ocean and elsewhere are often modelled by certain solutions of the nonlinear Schrodinger equation, describing the modulational instability of a plane wave and the subsequent development of multi-phase nonlinear wavetrains. In this paper, we describe how integrability and application of the inverse scattering transform can be used to construct a class of explicit asymptotic solutions that describe this process. We discuss the universal mechanism of the onset of multi-phase nonlinear waves (rogue waves) through the sequence of successive multi-breather wavetrains. Some applications to ocean waves and laboratory experiments are presented.