Rossby waves with linear topography in barotropic fluids

Liangui Yang; Chaojiu Da; Jian Song; Huiqin Zhang; Hongli Yang; Yijun Hou

doi:10.1007/s00343-008-0334-7

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Rossby waves with linear topography in barotropic fluids

OriginalPaper | Updated：2023-05-16

- Rossby waves with linear topography in barotropic fluids
- Rossby waves with linear topography in barotropic fluids
- 海洋湖沼学报（英文） 2008年26卷第3期页码：334-338
- Affiliations：
  
  1. School of Mathematical Sciences Inner Mongolia University
  2. College of Computer Sciences and Information Engineering Northwest University for Nationalities
  3. College of Science Inner Mongolia University of Technology
  4. Institute of Mechanics Chinese Academy of Sciences
  5. Institute of Oceanology Chinese Academy of Sciences
- Author bio：
- Funds：
  
  Supported by the Knowledge Innovation Program of Chinese Academy of Sciences (KZCX1-YW-12), Scientific Research Foundation for the Returned Overseas Chinese Scholar, and by Natural Science Foundation of Inner Mongolia (200408020112)
- DOI：10.1007/s00343-008-0334-7
  中图分类号：
- 网络首发：2008-08-20，
  
  纸质出版：2008
- Accepted：
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Rossby waves with linear topography in barotropic fluids[J]. 海洋湖沼学报（英文）, 2008,26(3):334-338.

Yang, L., Da, C., Song, J. et al. Rossby waves with linear topography in barotropic fluids., Chin. J. Ocean. Limnol. 26, 334–338 (2008). https://doi.org/10.1007/s00343-008-0334-7
Rossby waves with linear topography in barotropic fluids[J]. 海洋湖沼学报（英文）, 2008,26(3):334-338. DOI： 10.1007/s00343-008-0334-7.

Yang, L., Da, C., Song, J. et al. Rossby waves with linear topography in barotropic fluids., Chin. J. Ocean. Limnol. 26, 334–338 (2008). https://doi.org/10.1007/s00343-008-0334-7 DOI：

摘要

Abstract

Rossby waves are the most important waves in the atmosphere and ocean

and are parts of a large-scale system in fluid. The theory and observation show that

they satisfy quasi-geostrophic and quasi-static equilibrium approximations. In this paper

solitary Rossby waves induced by linear topography in barotropic fluids with a shear flow are studied. In order to simplify the problem

the topography is taken as a linear function of latitude variable y

then employing a weakly nonlinear method and a perturbation method

a KdV (Korteweg-de Vries) equation describing evolution of the amplitude of solitary Rossby waves induced by linear topography is derived. The results show that the variation of linear topography can induce the solitary Rossby waves in barotropic fluids with a shear flow

and extend the classical geophysical theory of fluid dynamics.

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references

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