| 相同模式内弧立波的强斜相互作用* |
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| 引用本文： | 朱勇.相同模式内弧立波的强斜相互作用*[J].应用数学和力学,1997,18(10):893-898. |
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| 作者姓名： | 朱勇 |
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| 作者单位： | 上海大学, 上海市应用数学和力学研究所, 上海 200072 |
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| 基金项目： | 国家教委基金，上海市教委科技发展基金 |
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| 摘 要： | 水文讨论分层流体中相同模式向孤立波的强斜相互作用,包括浅流体情形和深流体情形．采用Lazrange描述方法,发现在浅流体情形相互作用由KP方程描述;在深流体情形相互作用由二维的中等长波方程描述;在无限深情形相互作用由二维的BO方程描述．
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| 关 键 词： | 孤立波 强相互作用 分层流体 三维问题 |
| 收稿时间： | 1996-01-08 |
Strongly oblique Interactions between Internal Solitary Waves with the Same Mode |
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| Zhu Yong.Strongly oblique Interactions between Internal Solitary Waves with the Same Mode[J].Applied Mathematics and Mechanics,1997,18(10):893-898. |
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| Authors: | Zhu Yong |
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| Institution: | Shanghai University, Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China |
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| Abstract: | In this paper, by using the Lagrangian coordinates, the strongly oblique interactions between solitary waves with the same mode in a stratified fluid are discussed, which includes the shallow fluid case and 'deep fluid case. It is found that the interactions are described by the KP equation for the shallow fluid case, the two-dimensional intermediate long wave equation (2D-LW equation )for the deep fluid case and the two-dimensional BO equation (2D-BO equation)for the infinite deep fluid case. |
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| Keywords: | solitary waves strong interaction stratified fluids 3D problem |
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