Oscillatory Rossby Solitary Waves in the Atmosphere

The linear Rossby wave frequency expression is expanded at higher accuracy based on the scale difference characteristics of atmospheric long waves in the x and y directions. That the nature of the waves represented by the expansion is identical to that of the original ones is demonstrated both in phase velocity C and wave energy dispersion speed C., followed by the derivation of the nonlinear expression describing atmospheric long wave behaviors with the associated approximate analytic solution obtained. Then, for the first time atmospheric' oscillatory Rossby solitary wave with its dispersion relation is obtained by numerical calculation with the aid of physical parameters of the real atmosphere. The solitary wave is found to be very close to such longwave systems as blocking highs and cut-off depressions in the actual atmosphere.