Nonlinear inertia-gravity internal wave in stratified fluid

Hou Yi-jun; Li Wei; Wang Xin-sheng

doi:10.1007/BF02845345

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Nonlinear inertia-gravity internal wave in stratified fluid

Updated：2023-05-16

- Nonlinear inertia-gravity internal wave in stratified fluid
- Journal of Oceanology and Limnology Vol. 13, Issue 1, Pages: 13-20(1995)
- Affiliations：
  
  1. Institute of Oceanology
  2. Qingdao University
- Author bio：
- Funds：
- DOI：10.1007/BF02845345
  CLC：
- Published：1995
- Accepted：
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Yi-jun, H., Wei, L. & Xin-sheng, W. Nonlinear inertia-gravity internal wave in stratified fluid., Chin. J. Ocean. Limnol. 13, 13–20 (1995). https://doi.org/10.1007/BF02845345
DOI：

Yi-jun, H., Wei, L. & Xin-sheng, W. Nonlinear inertia-gravity internal wave in stratified fluid., Chin. J. Ocean. Limnol. 13, 13–20 (1995). https://doi.org/10.1007/BF02845345 DOI：

摘要

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” variables 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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references

Chao Jiping & Huang Ruixin, 1980. The cosine elliptical wave of rotating barotropic atmosphere.Science in China, B,7: 697–705. (in Chinese)

Gill, A. E., 1982. Atmosphere-Ocean Dynamics. Academic Press, New York, pp. 128–134.

Li Jibin, 1989. Chaos and Melnikov Methods. Chongqing University Press. Chongqing, pp. 64–70. (in Chinese)

Liu Shikuo, Liu Shida, Bu Yukang, 1984. The stability of the nonlinear inertiagravity internal wave in the stratified and shear atmosphere.Acta Meteor. Sinica. 42: 24–33. (in Chinese)

Qin Yuanxun, 1959. The Integral Curves Defind by Differential Equations. Science Press, Beijing, pp. 82–113. (in Chinese)

Yih, C. S., 1969. Stratified Flows, Academic Press, New York, pp. 19–218.

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