Transverse instability of gravity–capillary solitary waves

被引：0
|
作者：
Boguk Kim
T. R. Akylas
机构：
[1] Massachusetts Institute of Technology,Department of Mathematics
[2] Massachusetts Institute of Technology,Department of Mechanical Engineering
来源：
Journal of Engineering Mathematics | 2007年 / 58卷
关键词：
Gravity–capillary solitary waves; Long-wave stability analysis; Perturbation method; Total energy of a solitary wave; Transverse instability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Gravity–capillary solitary waves of depression that bifurcate at the minimum phase speed on water of finite or infinite depth, while stable to perturbations along the propagation direction, are found to be unstable to transverse perturbations on the basis of a long-wave stability analysis. This suggests a possible generation mechanism of the new class of gravity–capillary lumps recently shown to also bifurcate at the minimum phase speed.
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页码：167 / 175
页数：8
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