正压半地转模式中的非频散周期解

NONDISPERSIVE PERIODIC SOLUTION OF A BAROTROPIC SEMI-GEOSTROPHIC MODEL

本文求得正压半地转模式中非线性正压Rossby波的非频散周期解的存在条件与解。论证了Taylor展开的可能性，并给出了相应的无量纲a判据。最后给出了非线性特征波动的波速公式及波参数间的一些诊断关系。

The existence and solution of the nondispersive periodic solution concerning nonlinear barotropic Rossby waves of a barotropic semi-geostrophic model,demonstrating the likelihood of the Taylor evolution, together with the related dimensionless a-criterion are achieved. Finally, the wave velocity expression is proposed with some diagnostic relations among the wave parameters