| NLS EQUATION OF INTERNAL WAVES IN WEAKLY STRATIFIED OCEAN |
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| 作者姓名： | 徐肇廷 楼顺里 田纪伟 |
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| 作者单位： | XU Zhao-ting LOU Shun-li TIAN Ji-wei(Physical Oceanography Laboratory and Institute of Physical Oceanography，Ocean University of Qingdao，Qingdao 266003)Samuel Shan -pu Shen(Department of Mathematics and Applied Mathematiccs Institute，University of Alberta，Edmondon T6G 2G1，Canada) |
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| 基金项目： | This work was supported by the key foundation of The State Education Commission. |
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| 摘 要： | The NLS (Non-Linear Schr(?)dinger) equation of internal waves in a wekly stratified ocean is der-ived in phase coordnates in terms of the RPM (Reductive Perturbation Method). It was shown thatwhen AB>0 there exist modulation forms of envelope soliton and dn, and tha when AB<0 there arethree modulation forms dark soliton, sn and cn. Only if K~2>B/A(?) . the side-band perturbation is stable,otherwise unstable. For the stable side-band perturbation there ekisis a modulation form of MdV soliton.
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| 收稿时间： | 2 March 1995 |
| 修稿时间： | 14 May 1995 |
NLS equation of internal waves in weakly stratified ocean |
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| Xu Zhao-ting,Lou Shun-li,Tian Ji-wei,Samuel Shan-pu Shen.NLS EQUATION OF INTERNAL WAVES IN WEAKLY STRATIFIED OCEAN[J].Chinese Journal of Oceanology and Limnology,1996,14(2):121-127. |
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| Authors: | Xu Zhao-ting Lou Shun-li Tian Ji-wei Samuel Shan-pu Shen |
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| Institution: | (1) Physical Oceanography Laboratory and Institute of Physical Oceanography, Ocean University of Qingdao, 266003 Qingdao;(2) Department of Mathematics and Applied Mathematics Institute, University of Alberta, T6G 2G1 Edmondon, Canada |
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| Abstract: | The NLS (Non-Linear Schrodinger) equation of internal waves in a weakly stratified ocean is derived in phase coordinates in terms of the RPM (Reductive Perturbation Method). It was shown that when AB>0 there exist modulation forms of envelope soliton and dn, and that when AB<0 there arethree modulation forms: dark soliton, sn and cn. Only if K2>B/A U 0, the side-band perturbation is stable,otherwise unstable. For the stable side-band perturbation there exists a modulation form of KdV soliton. |
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| Keywords: | weakly stratified ocean MLS equation internal waves |
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