论文标题
2d全水波中的非线性模量稳定性
Nonlinear modulational instabililty of the Stokes waves in 2d full water waves
论文作者
论文摘要
众所周知的stokes波是指在二维全水浪系统的自由表面的重力下定期流动波。在本文中，我们证明，在长波扰动下，具有无限深度的小振幅stokes波浪不稳定。我们的方法基于水波系统的调节近似和聚焦的立方非线性schrödinger方程的不稳定性机制。
The well-known Stokes waves refer to periodic traveling waves under the gravity at the free surface of a two dimensional full water wave system. In this paper, we prove that small-amplitude Stokes waves with infinite depth are nonlinearly unstable under long-wave perturbations. Our approach is based on the modulational approximation of the water wave system and the instability mechanism of the focusing cubic nonlinear Schrödinger equation.
