Two-Dimensional algebraic solitary wave and its vertical structure in stratified fluid

被引:0
作者
Xiao-bing Su
Gang Wei
Shi-qiang Dai
机构
[1] Shanghai Jiaotong University,School of Naval Architecture and Ocean Engineering
[2] PLA University of Science & Technology,Faculty of Science
[3] Shanghai University,Shanghai Institute of Applied Mathematics and Mechanics
来源
Applied Mathematics and Mechanics | 2005年 / 26卷
关键词
two-dimensional Benjamin-Ono equation; stratified fluid; eigenvalue; vertical structure; O353.2; A; 76B55;
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学科分类号
摘要
The algebraic solitary wave and its associated eigenvalue problem in a deep stratified fluid with a free surface and a shallow upper layer were studied. And its vertical structure was examined. An exact solution for the derived 2D Benjamin-Ono equation was obtained, and physical explanation was given with the corresponding dispersion relation. As a special case, the vertical structure of the weakly nonlinear internal wave for the Holmboe density distribution was numerically investigated, and the propagating mechanism of the internal wave was studied by using the ray theory.
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页码:1255 / 1265
页数:10
相关论文
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