| 低频大气声重波的非线性Schr?dinger方程 |
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| 引用本文： | 黄朝松,李钓.低频大气声重波的非线性Schr?dinger方程[J].地球物理学报,1991,34(5):531-537. |
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| 作者姓名： | 黄朝松 李钓 |
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| 作者单位： | 中国科学院武汉物理研究所, 武汉 430072 |
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| 摘 要： | 本文采用多重时空尺度展开的方法,对于不可压缩等温大气,导出了二维情况下低频声重波的非线性Schr?dinger方程,讨论了声重波的非线性性质.在垂直方向上,声重波具有可传播性和幅度随高度增长的特性;在水平方向上,声重波能表现为孤子包络调制的波列.
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| 关 键 词： | 大气声重波 非线性Schr?dinger方程 孤立波 |
| 收稿时间： | 1990-08-23 |
NONLINEAR SCHR?DINGER EQUATION FOR LOW FREQUENCY ACOUSTIC-GRAVITY WAVES |
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| HUANG CHAO-SONG,LI JUN.NONLINEAR SCHR?DINGER EQUATION FOR LOW FREQUENCY ACOUSTIC-GRAVITY WAVES[J].Chinese Journal of Geophysics,1991,34(5):531-537. |
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| Authors: | HUANG CHAO-SONG LI JUN |
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| Institution: | Wuhan Institute of Physics, Academia Sinica, Wuhan 430072 |
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| Abstract: | Nonlinear behaviours of low frequency acoustic-gravity waves are studied in this paper. The atmosphere is considered to be imcompressible and isothermal, and the gravitational acceleration is independent of the height. The nonlinear wave equations are obtained by using the technique of multiple time and space scales. It is shown that the acoustic-gravity waves propagating parallel to the earth's surface satisfy the nonlinear Schr?dinger equation which has solutions of soliton-envelopes of wave trains. |
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| Keywords: | Acoustic-gravity wave Nonlinear Schr?dinger equation Solitary waves |
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