中国物理B ›› 2009, Vol. 18 ›› Issue (7): 2873-2877.doi: 10.1088/1674-1056/18/7/042

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Modified KdV equation for solitary Rossby waves with β effect in barotropic fluids

杨联贵1, 宋健2   

  1. (1)College of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China; (2)College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China
  • 收稿日期:2008-12-02 修回日期:2008-12-19 出版日期:2009-07-20 发布日期:2009-07-20
  • 基金资助:
    Project supported by the Educational Department of Inner Mongolia (NJZY: 08005) and Open Fund of the Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences (Grant No KLOCAW0805).

Modified KdV equation for solitary Rossby waves with $\beta$ effect in barotropic fluids

Song Jian(宋健)a)† and Yang Lian-Gui(杨联贵)b)   

  1. a College of Sciences, Inner Mongolia University of Technology, Hohhot 010051, China; b College of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China
  • Received:2008-12-02 Revised:2008-12-19 Online:2009-07-20 Published:2009-07-20
  • Supported by:
    Project supported by the Educational Department of Inner Mongolia (NJZY: 08005) and Open Fund of the Key Laboratory of Ocean Circulation and Waves, Chinese Academy of Sciences (Grant No KLOCAW0805).

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摘要： This paper uses the weakly nonlinear method and perturbation method to deal with the quasi-geostrophic vorticity equation, and the modified Korteweg-de Vries(mKdV) equations describing the evolution of the amplitude of solitary Rossby waves as the change of Rossby parameter β(y) with latitude y is obtained.

Abstract: This paper uses the weakly nonlinear method and perturbation method to deal with the quasi-geostrophic vorticity equation, and the modified Korteweg-de Vries(mKdV) equations describing the evolution of the amplitude of solitary Rossby waves as the change of Rossby parameter $\beta(y)$ with latitude $y$ is obtained.

Key words: nonlinear Rossby waves, mKdV equation, $\beta$ effect, perturbation method

中图分类号:  (Solitary waves)

  • 47.35.Fg
92.10.Hm (Ocean waves and oscillations) 47.32.-y (Vortex dynamics; rotating fluids)