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层结流体中具有纬向基本剪切流的Rossby波振幅的mKdV方程
引用本文:SONG Jian,YANG Lian-Gui,DA Chao-Jiu,ZHANG Hui-Qin. 层结流体中具有纬向基本剪切流的Rossby波振幅的mKdV方程[J]. 大气和海洋科学快报, 2009, 2(1): 18-23
作者姓名:SONG Jian  YANG Lian-Gui  DA Chao-Jiu  ZHANG Hui-Qin
作者单位:College of Sciences, Inner Mongolia University of Technology,,,
基金项目:Natural Science Foundation of Nei Memg Gu (No. 20040802112)
摘    要:In this paper,modified Korteweg-de Vries (mKdV) equations for the amplitude of solitary Rossby waves in stratified fluids with a zonal shear flow are derived by using a weakly nonlinear method.It is found that the coefficients of mKdV equations depend not only on the β effect and the Visl-Brunt frequency,but also on the basic shear flow.

关 键 词:mKdV  equation  β  effect  shear  flow  Visl-Brunt  frequency

mKdV equation for the amplitude of solitary Rossby waves in stratified shear flows with a zonal shear flow
SONG Jian,YANG Lian-Gui,DA Chao-Jiu and ZHANG Hui-Qin. mKdV equation for the amplitude of solitary Rossby waves in stratified shear flows with a zonal shear flow[J]. Atmospheric and Oceanic Science Letters, 2009, 2(1): 18-23
Authors:SONG Jian  YANG Lian-Gui  DA Chao-Jiu  ZHANG Hui-Qin
Affiliation:College of Sciences, Inner Mongolia University of Technology,College of Mathematical Sciences, Inner Mongolia University, Hohhot, China,College of Atmospheric Sciences, Lanzhou University, Lanzhou, China,Institute of Mechanics, Chinese Academy of Sciences, Beijing, China
Abstract:In this paper mKdV equations for the amplitude of solitaryRossby waves in stratified fluids with a zonal shear flow arederived by using weakly nonlinear method. It is found thatcoefficients of mKdV equations not only depend on $beta$ effectand the Brunt frequency, but also on thebasic shear flow.
Keywords:mKdV equation  beta effect  shear flow
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