Three Dimensional Flexural-Gravity Waves
Three Dimensional Flexural-Gravity Waves
复制标题
DOI：
10.1111/sapm.12005
复制
发表时间：
2013-08-01
影响因子：
2.7
通讯作者：
Wang, Z.
中科院分区：
文献类型：
--
作者：
Milewski, P. A.;Wang, Z.
波传播的表面上的任意深度的三维理想流体的弹性片材，抵抗弯曲的限制被认为是在小振幅调制渐近极限。一个Benney-Roskes-Davey-Stewartson模型的推导，我们发现，完全本地化的波包孤立波（或块）可能分叉的平凡状态的最小相速度的问题的深度范围。使用线性和两个非线性弹性模型的结果进行了比较。
Waves propagating on the surface of a three-dimensional ideal fluid of arbitrary depth bounded above by an elastic sheet that resists flexing are considered in the small amplitude modulational asymptotic limit. A Benney-Roskes-Davey-Stewartson model is derived, and we find that fully localized wavepacket solitary waves (or lumps) may bifurcate from the trivial state at the minimum of the phase speed of the problem for a range of depths. Results using a linear and two nonlinear elastic models are compared.