Three Dimensional Flexural-Gravity Waves

被引：29
|
作者：
Milewski, P. A.
Wang, Z.
机构：
[1] Univ Bath, Bath BA2 7AY, Avon, England
[2] Univ Wisconsin, Madison, WI 53706 USA
来源：
STUDIES IN APPLIED MATHEMATICS | 2013年 / 131卷 / 02期
基金：
美国国家科学基金会; 英国工程与自然科学研究理事会;
关键词：
HYDROELASTIC SOLITARY WAVES; DEEP-WATER; SURFACE-WAVES; ICE-SHEET; PACKETS; BENEATH;
D O I：
10.1111/sapm.12005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：135 / 148
页数：14
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