完整Coriolis力作用下的非线性Rossby波包

Nonlinear Rossby wave packet with complete Coriolis force

在正压流体中,从准地转正压涡度方程出发,运用时空伸长变换和摄动法推导了在完整Coriolis力作用下的非线性Rossby孤立波包振幅的演变满足非齐次非线性Schrodinger方程的结论.结果分析表明,完整Coriolis力中的水平分量对Rossby孤立波产生一定的影响,同时,β效应和地形效应也是诱导Rossby孤立波产生的重要因素.

In barotropic fluids, based on the quasi-geostrophic barotropic vorticity equation, the evolution of the amplitude of Rossby solitary wave envelope includes complete Coriolis force satisfies the inhomogeneous nonlinear Schrodinger equation by employing the perturbation method and stretching transforms of time and space. The results show the horizontal component of the complete Coriolis force has some effects on the Rossby solitary waves,at the same time,beta effect and topographic effect are also important to the Rossby solitary waves.