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大气科学  1993 

The Modulation Instability of Nonlinear Rossby Waves in the Weakly Dissipative Atmosphere
弱耗散作用下非线性Rossby波的调制不稳定

Keywords: WKB method,Nonlinear Schrodinger equation,Side-band instability
WKB方法
,复系数非线性Schrdinger方程,边带不稳定

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Abstract:

In this paper, the WKB method is applied to investigating nonlinear Rossby waves with weakly shear zonal flow and weak dissipation in the atmosphere, and a nonlinear Schrodinger equation with complex coefficients for nonlinear Rossby waves is obtained. On the other hand, the side - band stability problems of Rossby wavetrains with no dissipation and weak dissipation are discussed, respectively, and some new results are derived.

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