窄带方向海浪的不稳定性和非线性演化
Instability and Nonlinear Evolution of Narrow-Band Directional Ocean Waves
摘要：
通过对窄带表面波运动方程的数值模拟，研究了定向海浪的不稳定性和非线性演化。我们的模拟结果揭示了长峰波列的调制不稳定性的发病，这与最近的大规模实验在波浪盆地，其中发现，较窄的方向谱导致海浪的自聚焦和极端事件的概率增强。我们发现，调制不稳定性是非线性饱和的波谱加宽，这导致稳定的水波系统。讨论了这些结果在物理学其它领域，如非线性光学和等离子体物理中的应用。
英文摘要：
The instability and nonlinear evolution of directional ocean waves is investigated numerically by means of simulations of the governing kinetic equation for narrow-band surface waves. Our simulation results reveal the onset of the modulational instability for long-crested wave-trains, which agrees well with recent large-scale experiments in wave-basins, where it was found that narrower directional spectra leads to self-focusing of ocean waves and an enhanced probability of extreme events. We find that the modulational instability is nonlinearly saturated by a broadening of the wave-spectrum, which leads to the stabilization of the water-wave system. Applications of our results to other fields of physics, such as nonlinear optics and plasma physics are discussed.
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