The Characters of Viscous Barotropic Atmosphere on Sphere

The characters of nonlinear disturbance of viscous barotropic atmosphere on sphere is discussed. It shows that the envelop of disturbance is controlled by a simple equation because of the reactions of weak nonlinear interaction between waves. The simple equation changes into nonlinear Schr?dinger equation when viscous effect is died away. The result also shows that two factors, one is the effect of curvature of the sphere and the other is the shear of the basic wind field, are very important for the formation of the equation. The paper is also pointed out that the viscous effect may act as dispersion to enhance the energy of the envelop and it may be unfavourable for the formation of this statistical solitary wave (Schr?dinger wave)