On asymmetric generalized solitary gravity-capillary waves in finite depth

被引：8
|
作者：
Gao, T. [1 ]
Wang, Z. [2 ,3 ]
Vanden-Broeck, J. -M. [1 ]
机构：
[1] UCL, Dept Math, London WC1E 6BT, England
[2] Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China
[3] Univ Chinese Acad Sci, Sch Engn Sci, Beijing 100049, Peoples R China
来源：
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2016年 / 472卷 / 2194期
基金：
中国国家自然科学基金;
关键词：
generalized solitary waves; asymmetric waves; gravity-capillary waves; WATER-WAVES; SURFACE-TENSION; DEEP-WATER;
D O I：
10.1098/rspa.2016.0454
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
Generalized solitary waves propagating at the surface of a fluid of finite depth are considered. The fluid is assumed to be inviscid and incompressible and the flow to be irrotational. Both the effects of gravity and surface tension are included. It is shown that in addition to the classical symmetric waves, there are new asymmetric solutions. These new branches of solutions bifurcate from the branches of symmetric waves. The detailed bifurcation diagrams as well as typical wave profiles are presented.
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页数：10
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