NLS equation of internal waves in weakly stratified ocean

Xu Zhao-ting; Lou Shun-li; Tian Ji-wei; Samuel Shan-pu Shen

doi:10.1007/BF02850368

Your Location：

Home >

Browse articles >

NLS equation of internal waves in weakly stratified ocean

OriginalPaper | Updated：2023-05-16

- NLS equation of internal waves in weakly stratified ocean
- NLS equation of internal waves in weakly stratified ocean
- 海洋湖沼学报（英文） 1996年14卷第2期页码：121-127
- Affiliations：
  
  1. Physical Oceanography Laboratory and Institute of Physical Oceanography
  2. Department of Mathematics and Applied Mathematics Institute University of Alberta
- Author bio：
- Funds：
  
  This work was supported by the key foundation of The State Education Commission.
- DOI：10.1007/BF02850368
  中图分类号：
- 网络首发：2013-01-31，
  
  纸质出版：1996
- Accepted：
Scan QR Code
NLS equation of internal waves in weakly stratified ocean[J]. 海洋湖沼学报（英文）, 1996,14(2):121-127.

Zhao-ting, X., Shun-li, L., Ji-wei, T. et al. NLS equation of internal waves in weakly stratified ocean., Chin. J. Ocean. Limnol. 14, 121–127 (1996). https://doi.org/10.1007/BF02850368
NLS equation of internal waves in weakly stratified ocean[J]. 海洋湖沼学报（英文）, 1996,14(2):121-127. DOI： 10.1007/BF02850368.

Zhao-ting, X., Shun-li, L., Ji-wei, T. et al. NLS equation of internal waves in weakly stratified ocean., Chin. J. Ocean. Limnol. 14, 121–127 (1996). https://doi.org/10.1007/BF02850368 DOI：

摘要

Abstract

The NLS (Non-Linear Schrödinger) 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 whenAB>0 there exist modulation forms of envelope soliton anddn

and that whenAB<0 there are three modulation forms: dark soliton

sn andcn Only if {ie121-1} the side-band perturbation

is stable

otherwise unstable. For the stable side-band perturbation there exists a modulation form ofKdV soliton.

关键词

Keywords

references

Davey, A. & Stewartson, K., 1974. On three-dimensional packets of surface wave.Proc. Roy. Soc. London. A338: 101–110.

Dysthe, K. B., 1979. Note on a modification to the nonlinear Schrodinger equation for application to deep water waves.Proc. roy. Soc. London. A369: 105–114.

Hui, W. H., Hamilton, J., 1979. Exact solution of a three-dimensional nonlinear Schrodinger equation applied to gravity wave.J. Fluid Mech. 93: 117–132.

Leonov, A. Y., Miropolsky, U. Z., 1974.Reports of Scientific Academy, U. S. S. R.,218(6): 1287–1290. (in Russian)

Leonov, A. Y., Miropolsky, U. Z., 1975. Short wave approximation in the theory of nonlinear steady interal gravity waves.Phys. Atmo. and Ocean 11(11): 1169–1178. (in Russian)

Xu Zhaoting, Shen, S. S., 1991. Nonlinear modulation of the short internal waves in the weakly stratified ocean.J. Chin. Ocean. Limn. 9: 364–374.

浏览量

Downloads

CSCD

文章被引用时，请邮件提醒。

Submit

工具集

关联资源

Impact of seepage flow on sediment resuspension by internal solitary waves: parameterization and mechanism

Propagation of internal waves up continental slope and shelf

A new method for the estimation of oceanic mixed-layer depth using shipboard X-band radar images

Nonlinear interactions among internal tidal waves in the northeastern South China Sea

Effects of internal waves on signal temporal correlation length in the South China Sea