论文标题
在深水中的stokes波的模拟不稳定证明
Proof of modulational instability of Stokes waves in deep water
论文作者
论文摘要
事实证明，与长波扰动相对于无限深度的稳定稳定的周期性水波不稳定。本杰明和菲尔首先在半个多世纪前观察到了这种模态不稳定。仅在有限深度的情况下，它才被严格证明。我们提供了一种完全不同且独立的方法，以证明有限和无限深度病例中水波的光谱模量不稳定性。
It is proven that small-amplitude steady periodic water waves with infinite depth are unstable with respect to long-wave perturbations. This modulational instability was first observed more than half a century ago by Benjamin and Feir. It has been proven rigorously only in the case of finite depth. We provide a completely different and self-contained approach to prove the spectral modulational instability for water waves in both the finite and infinite depth cases.
