| TWO-DIMENSIONAL ALGEBRAIC SOLITARY WAVE AND ITS VERTICAL STRUCTURE IN STRATIFIED FLUID |
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| 作者姓名： | 苏晓冰 魏岗 戴世强 |
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| 作者单位： | [1]School of Naval Architecture and Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China [2]Faculty of Science, PLA University of Science ＆ Technology, Nanjing 211101, P. R. China [3]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| 基金项目： | Project supported by the Prediction Research Foundation of National Defense （No. 51443030103QT0601 ） ; the Chinese Postdoctor Foundation （No. 2004036099） ; the Foundation of the State Key Laboratory of 0cean Engineering （ No. 0502 ） |
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| 摘 要： | IntroductionItis known thatthere exists a special kind of solitary waves—the algebraic solitary waveas the disturbance range is close to the scale of vertical variation of density in thecontinuously stratified fluid.The algebraic solitary wave is governe…
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| 关 键 词： | 二维代数 孤立波 Benjamin-Ono方程 特征值 垂直结构 |
| 文章编号： | 0253-4827（2005）10-1255-11 |
| 收稿时间： | 2004-03-25 |
| 修稿时间： | 2005-05-15 |
Two-Dimensional algebraic solitary wave and its vertical structure in stratified fluid |
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| Xiao-bing Su,Gang Wei,Shi-qiang Dai.TWO-DIMENSIONAL ALGEBRAIC SOLITARY WAVE AND ITS VERTICAL STRUCTURE IN STRATIFIED FLUID[J].Applied Mathematics and Mechanics(English Edition),2005,26(10):1255-1265. |
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| Authors: | Xiao-bing Su Gang Wei Shi-qiang Dai |
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| Institution: | 1. School of Naval Architecture and Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, P. R. China;Faculty of Science, PLA University of Science ＆ Technology, Nanjing 211101, P. R. China
2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | 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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| Keywords: | two-dimensional Benjamin-Ono equation stratified fluid eigenvalue vertical structure |
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