Trapped solitary waves over an uneven bottom

被引：3
|
作者：
Denisenko, D. S. [1 ,2 ]
Makarenko, N. I. [1 ,2 ]
机构：
[1] Lavrentyev Inst Hydrodynam, Novosibirsk, Russia
[2] Sobolev Inst Math, Novosibirsk, Russia
来源：
EUROPEAN PHYSICAL JOURNAL PLUS | 2020年 / 135卷 / 08期
关键词：
FREE-SURFACE FLOW; STABILITY;
D O I：
10.1140/epjp/s13360-020-00673-5
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
Steady two-dimensional surface waves on an ideal irrotational fluid over a complex multi-bumped topography are studied analytically in the case when the far upstream flow is slightly supercritical. Fully nonlinear equations are formulated via the von Mises variables that parametrize the bundle of streamlines in the flow over obstacles. For a given small-height topography, we construct approximate two-parametric solution sets which approach the branches of solitary waves as the typical height of the obstacle vanishes.
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页数：16
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