Nonlinear stage of Benjamin-Feir instability in forced/damped deep-water waves
Nonlinear stage of Benjamin-Feir instability in forced/damped deep-water waves
复制标题
DOI：
10.1063/1.5006139
复制
发表时间：
2018-01-01
影响因子：
4.6
通讯作者：
Kasparian, Jerome
中科院分区：
文献类型：
--
作者：
Armaroli, Andrea;Eeltink, Debbie;Kasparian, Jerome
我们研究了最近提出的深水重力波阻尼/强迫高阶非线性薛定谔方程在风和粘度作用下的三波截断。整个模型的范数（波作用）和谱均值的演变被简化的动力学很好地捕获。我们发现了风黏度平衡的三种形式，并根据截断系统相平面上的吸引子和谱均值的位移对它们进行了分类。降档可以与净强迫和阻尼共存，即对周期1或周期2解的吸引力。上升与更强的风有关，即与净强迫有关，其中吸引子始终是周期1解。验证了我们的分类方法在长波槽实验中的适用性。AIP出版社出版。
We study a three-wave truncation of a recently proposed damped/forced high-order nonlinear Schrodinger equation for deep-water gravity waves under the effect of wind and viscosity. The evolution of the norm (wave-action) and spectral mean of the full model are well captured by the reduced dynamics. Three regimes are found for the wind-viscosity balance: we classify them according to the attractor in the phase-plane of the truncated system and to the shift of the spectral mean. A downshift can coexist with both net forcing and damping, i.e., attraction to period-1 or period-2 solutions. Upshift is associated with stronger winds, i.e., to a net forcing where the attractor is always a period-1 solution. The applicability of our classification to experiments in long wave-tanks is verified. Published by AIP Publishing.