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Using the method of linear disturbances, it is proved that the sufficient and necessarycondition for neutral disturbances is that the isolines of the phase for disturbances are dis-tributed in the meridional direction, in an ideal and inviscid and nondivergent atmosphere onrotating spherical coordinates with a shear zonal parallel flow and the zonal rigid boundaryconditions. From the above conclusion, we can get that the disturbances with tilted treughmay not be neutral, and it must be amplifying or damping. Furthermore, we have derivedthe nonlinear equations of amplitude and phase for disturbances.
Using the method of linear disturbances, it is proved that the sufficient and necessary condition for neutral disturbances is that the isolines of the phase for disturbances are dis-tributed in the meridional direction, in an ideal and inviscid and nondivergent atmosphere onrotating spherical coordinates with a shear From the above conclusion, we can get that the disturbances with tilted treughmay not be neutral, and it must be amplifying or damping. Furthermore, we have derived the nonlinear equations of amplitude and phase for disturbances.