| 地球流体中的非线性重力波 |
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| 引用本文： | 杨联贵,候一筠,谢强,程明华.地球流体中的非线性重力波[J].海洋与湖沼,1997,28(6):646-651. |
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| 作者姓名： | 杨联贵 候一筠 谢强 程明华 |
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| 作者单位： | 中国科学院海洋研究所!青岛，266071，中国科学院海洋研究所!青岛，266071，中国科学院海洋研究所!青岛，266071，中国科学院海洋研究所!青岛，266071 |
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| 基金项目： | 国家自然科学基金!49476276，山东省重点基金!950128，中国科学院重点基金!TZ952-S1-420 |
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| 摘 要： | 从地球流体运动浅水模式的非线性方程出发，采用行波分析法给出了平面自治系统，利用相图理论，讨论了行波解的性质，提出了平面非线性系统不存在孤立波的结论；利用K-B平均法，首次获得有限振幅惯性重力波以Rossby数作为控制参量的非线性频散关系。
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| 关 键 词： | 非线性重力波 频散关系 地球流体 重力波 |
| 收稿时间： | 1996/5/13 0:00:00 |
| 修稿时间： | 1997/4/15 0:00:00 |
NONLINEAR GRAVITY WAVE IN GEOPHYSICAL FLUID |
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| Yang Liangin,Hou Yjun,Xie Qiang and Cheng Minghua.NONLINEAR GRAVITY WAVE IN GEOPHYSICAL FLUID[J].Oceanologia Et Limnologia Sinica,1997,28(6):646-651. |
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| Authors: | Yang Liangin Hou Yjun Xie Qiang and Cheng Minghua |
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| Institution: | Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071;Institute of Oceanology, Chinese Academy of Sciences, Qingdao 266071 |
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| Abstract: | Variabe transformation is used to convert the nonlinear equations goverming geophysical flind's mohon in a shallow model into a plane automous system F(UV) = 0G (UV) = 0Phase portrait analysis on the basis of the geomtric theory of ordinare differenhal equations was used to study the travelling wave soluhon propenies. Th result indicates the there are no solitary waves in the nonlinear system.In order to obtain the dispersive relationship of the finite amplitud ineniagravity wave, Taylor expansion was used in the above system at the equllibrum point (0,0).Using the K-B average method in the expansion yield, the disPersive relationship can be written as (Rossby number for inertiagravity wave). Thus, the dispersive relationship includes Rossby number and the cireular frequency a increases with |
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| Keywords: | Nonlinear gravity wave Dispersive relationship |
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