强迫耗散与β效应地形效应作用下的非线性Rossby波包

摘要

正压流体中,从有外源的准地转位涡方程出发采用摄动方法和时空伸长变换推导了具有β效应、地形效应和外源的强迫Rossby孤立波包方程,得到孤立Rossby波振幅的演变满足带有地形与外源强迫的非齐次非线性Schrdinger方程的结论.通过分析孤立Rossby波包振幅的演变,指出了β效应、地形效应以及外源都是诱导Rossby孤立波产生的重要因素,说明了在地形强迫效应和非线性作用相平衡的假定下,Rossby孤立波包振幅的演变满足非齐次非线性Schrdinger方程,给出在切变基本气流下地形和正压流体中Rossby波的相互作用.%In barotropic fluids,based on the quasi-geostrophic potential vorticity equation,an inhomogeneous nonlinear Schrdinger equation including topographic forcing and an external source is derived by employing the perturbation method and stretching transforms of time and space.With the inspection of the evolution of the amplitude of Rossby envelope solitary waves,it is found that β effect,topography effect and an external source are the important factors,the solitary Rossby wave is induced though the basic stream function has a shear flow.On the assumption that nonlinear and topographic effects are balanced,an inhomogeneous equation is derived,and the results show that the topography and Rossby waves interact in the barotropic flow.The inhomogeneous nonlinear Schrdinger equation describing the evolution of the amplitude of solitary Rossby envelope solitary waves as the change of Rossby parameter β（y） with latitude y,topographic forcing and the external source is obtained.