完整Coriolis力和地形作用下的Rossby代数孤立波  

The Rossby Algebraic Solitary Waves with the Complete Coriolis Force and Topography

作　　者：贾静 杨红丽[1] 杨光兴 杨联贵[1] JIA Jing;YANG Hong-li;YANG Guang-xing;YANG Lian-gui(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;People's Bank of China,Hohhot Central Sub Branch,Hohhot 010020,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]中国人民银行呼和浩特中心支行,呼和浩特010020

出　　处：《内蒙古大学学报（自然科学版）》2019年第1期44-49,共6页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金资助项目(11362012)

摘　　要：在正压流体中,从含有完整Coriolis力的准地转位涡方程出发,采用摄动方法与时空伸长变换,推导了在缓变地形作用下的Rossby孤立波振幅满足非齐次BDO方程.通过分析,说明β效应、地形效应是诱导Rossby波产生的重要因素,也指出了Coriolis力的水平分量和地形随时间的变化会对Rossby波的演变产生影响.In the barotropic fluid,based on the geostrophic vorticity equation with complete Coriolis force,the amplitude of the Rossby wave in the slowly changing topography satisfies the nonhomogeneous BDO equation was deduced by using the perturbation method and the time and space variable.The results show that the Beta effect and the topographic effect are important factors to induce the Rossby wave.At the same time,the horizontal component of the Coriolis force and the changes of topography with time have a certain influence on the Rossby wave.

关 键 词：ROSSBY波 BDO方程 水平分量 缓变地形 

分 类 号：P433[天文地球—大气科学及气象学]