完整Coriolis力下非线性Rossby波包的传播  

Propagation of Nonlinear Rossby Wave Packet with a Complete Coriolis Force

作　　者：刘福梅[1] 杨红丽[1] 杨联贵[1] 

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2016年第6期577-583,共7页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金(11362012)资助

摘　　要：在正压流体中,从地转位涡方程出发,考虑纬向基本气流具有弱切变而不是缓变的情况下,推导出在完整Coriolis的作用下的非线性Rossby波包振幅满足推广的非线性Schrdinger方程.结果表明,完整Coriolis力中的水平分量对Rossby波包产生一定的影响.同时,β效应、地形效应和耗散也是诱导Rossby波包产生的重要因素.并且研究了基本气流存在线性弱切变下的本征值问题.In barotropic fluids, based on the geostrophic barotropic vorticity equation with a com- plete Coriolis force,the amplitude of Rossby wave packet with the zonal weakly shearing and non- slowly flows is evaluated to satisfy the nonlinear Schrodinger equation. The results show that the horizontal component of the complete Coriolis force has some effects on the Rossby wave packet. At the same time, beta effect and topographic effect are also important to the Rossby wave packet. And the eigenvalue problem of the basic flow in the presence of linear weak shear is also considered.

关 键 词：Rossby波包 水平分量 SCHRODINGER方程 本征值 

分 类 号：O29[理学—应用数学] P433[理学—数学]