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 coe...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 Visl-Brunt frequency,but also on the basic shear flow.展开更多
On the basis of the quasi-geostrophic vorticity equation,theoretical research has been down upon the evolution of the amplitude of solitary Rossby waves employing the perturbation method,and come to the conclusion tha...On the basis of the quasi-geostrophic vorticity equation,theoretical research has been down upon the evolution of the amplitude of solitary Rossby waves employing the perturbation method,and come to the conclusion that the evolution of the amplitude satisfies the variable coefficient Korteweg-de Vries(KdV) equation.展开更多
The propagation of Rossby waves on the Earth’s δ-surface is discussed in a reference frame propagation with the zonal phase speed of the wave.In this reference frame,trajectories and streamlines coincide;the propaga...The propagation of Rossby waves on the Earth’s δ-surface is discussed in a reference frame propagation with the zonal phase speed of the wave.In this reference frame,trajectories and streamlines coincide;the propagation of Rossby waves has a different interpretation than in a reference frame fixed on the ground;and the mechanism for the propagation of Rossby waves depends not only on the different positions of the wave relative to the basic current,but also the variation ofβwith latitude(called theδ-effect).展开更多
基金supported by the Scientific Research Foundation for the Returned Over-seas Chinese Scholarthe Natural Science Foundation of the Inner Mongolia(No.20040802112)
文摘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 Visl-Brunt frequency,but also on the basic shear flow.
基金supported by the Meteorological Special Project of China(GYHY200806005)the National Natural Sciences Foundation of China(40805028,40675039,40575036)the Key Technologies R&D Program of China(2009BAC51B04)
文摘On the basis of the quasi-geostrophic vorticity equation,theoretical research has been down upon the evolution of the amplitude of solitary Rossby waves employing the perturbation method,and come to the conclusion that the evolution of the amplitude satisfies the variable coefficient Korteweg-de Vries(KdV) equation.
基金supported by the National Natural Science Foundation of China [grant numbers 11362012,11562014,41465002,and 41765004]the High School Science Research Project of the Inner Mongolia Autonomous Region[grant number NJZY16096]the Natural Science Foundation of Inner Mongolia[grant number 2018LH04005]
文摘The propagation of Rossby waves on the Earth’s δ-surface is discussed in a reference frame propagation with the zonal phase speed of the wave.In this reference frame,trajectories and streamlines coincide;the propagation of Rossby waves has a different interpretation than in a reference frame fixed on the ground;and the mechanism for the propagation of Rossby waves depends not only on the different positions of the wave relative to the basic current,but also the variation ofβwith latitude(called theδ-effect).
