| NONLINEAR INERTIA—GRAVITY INTERNAL WAVE IN STRATIFIED FLUID |
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| 引用本文： | 候一筠,李炜,王新生.NONLINEAR INERTIA—GRAVITY INTERNAL WAVE IN STRATIFIED FLUID[J].中国海洋与湖沼学报,1995,13(1):13-20. |
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| 作者姓名： | 候一筠 李炜 王新生 |
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| 作者单位： | HOU Yi-jun LI Wei(Institute of Oceanology,Chinese Academy of Sciences,Qingdao 266071)WANG Xin-sheng(Qingdao University,266071) |
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| 基金项目： | Project supported by NSFC for Youtb(No.B909920106) |
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| 摘 要： | Based on the fundamental equations of geophysical fluid dynamics and on the consequence of verticaldensity stratification,travelling wave coordinates are used in this work to study the geometric topologicalstructures of nonlinear permanent wave in phase plane.Rigorous mathematical mechanics demonstratethat the solution of permanent solitary wave does not exist.Hamilton functions and "action-angle" varia-bles are used to express the travelling wave system in the simplest form and the analytic solution of the nonlinear inertia-gravity internal wave is obtained.
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| 收稿时间： | 11 December 1993 |
| 修稿时间： | 15 November 1994 |
Nonlinear inertia-gravity internal wave in stratified fluid |
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| Hou Yi-jun,Li Wei,Wang Xin-sheng.Nonlinear inertia-gravity internal wave in stratified fluid[J].Chinese Journal of Oceanology and Limnology,1995,13(1):13-20. |
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| Authors: | Hou Yi-jun Li Wei Wang Xin-sheng |
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| Institution: | (1) Institute of Oceanology, Chinese Academy of Sciences, 266071 Qingdao;(2) Qingdao University, 266071 Qingdao, China |
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| Abstract: | Based on the fundamental equations of geophysical fluid dynamics and on the consequence of vertical density stratification, travelling wave coordinates are used in this work to study the geometric topological structures of nonlinear permanent wave in phase plane. Rigorous mathematical mechanics demonstrate that the solution of permanent solitary wave does not exist. Hamilton functions and "action-angle" varia-bles are used to express the travelling wave system in the simplest form and the analytic solution of the nonlinear inertia-gravity internal wave is obtained. |
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| Keywords: | nonlinear inertia-gravity internal wave stratified fluid |
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