| 旋转地球流体的一个非线性奇异孤立波精确解 |
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| 引用本文： | 李春雁. 旋转地球流体的一个非线性奇异孤立波精确解[J]. 地球物理学报, 1990, 33(03): 336-342, |
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| 作者姓名： | 李春雁 |
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| 作者单位： | 中国科学院海洋研究所, 青岛 |
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| 摘 要： | 本文求出了旋转地球流体的f平面浅水波方程组的一个非线性精确解.这是一个处处连续、分片光滑的凹形孤立波,在波谷处为一尖点（奇异点）,其移速比长波速度gh1/2略小,为（1+a/h）（gh（1+a/h））1/2,其中a<0.其水平尺度与水深几乎无关.
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| 关 键 词： | 地球流体 非线性 奇异点 精确解 孤立波 凹形波 |
| 收稿时间： | 1988-05-25 |
| 修稿时间： | 1989-03-04 |
A SINGULAR EXACT SOLUTION FOR NONLINEAR SHALLOW WATER ON A ROTATING EARTH |
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| LI CHUN-YAN. A SINGULAR EXACT SOLUTION FOR NONLINEAR SHALLOW WATER ON A ROTATING EARTH[J]. Chinese Journal of Geophysics (in Chinese), 1990, 33(03): 336-342, |
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| Authors: | LI CHUN-YAN |
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| Affiliation: | Institute of Oceanology, Academia Sinica, Qingdao |
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| Abstract: | In this paper, we present an exact solution for nonlinear shallow water on a rotating planet. It is a kind of solitary waves with always negative wave height and a celerity smaller than linear shallow water propagation speed . In fact, it propagates with a speed equal to （1+ a/h） where a is the negative wave height. The lowest point of the water surface is a singular point where the first order derivative has a, discontinuity of the first kind. The horizontal scale of the wave has actually no connection with the water depth. |
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| Keywords: | Geophysical fluid Nonlinear Singular point Exact solution Solitary wave |
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