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,ZHANG Hui-Qin
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
In this paper mKdV equations for the amplitude of solitary Rossby waves in stratified fluids with a zonal shear flow are derived by using weakly nonlinear method. It is found that coefficients of mKdV equations not only depend on $\beta$ effect and the Brunt frequency, but also on the basic shear flow.
Received: 19 September 2008
Revised: 03 November 2008
Accepted: 07 November 2008
Fund:
Natural Science Foundation of Nei Memg Gu (No. 20040802112)
SONG Jian,YANG Lian-Gui,DA Chao-Jiu,ZHANG Hui-Qin, 2009: mKdV equation for the amplitude of solitary Rossby waves in stratified shear flows with a zonal shear flow . Atmos. Oceanic Sci. Lett., 2(1), 18-23, doi: 10.1080/16742834.2009.11446771.
