推广的β平面近似的Rossby孤立波包  

Generalized of β planar approximate Rossby solitary wave packet

作　　者：陈悦 宋健[1] CHEN Yue;SONG Jian(College of Sciences,Inner Mongolia University of Technology,Hohhot O10051,China)

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《地球物理学进展》2018年第4期1339-1344,共6页Progress in Geophysics

基　　金：国家自然科学基金项目(11362012,11562014,41465002);全球变化研究国家重大科学研究计划基金资助项目(2012CB955902)联合资助

摘　　要：研究了在中高纬度下考虑推广的β平面,研究了基本气流具有弱切变的非线性正压Rossby波,得到了偶极子阻塞形成的一个理论及其影响的问题.采用多重尺度法的方法,获得了Rossby波包满足非线性Schr9dinger方程的结果,通过δ效应对波包的波数产生影响,从而对Rossby的频率产生影响.指出:当Rossby波的波数满足k^2/3-F<m^2<4k^2+4/3F(k为纬向波数,m为经向波数)时,大气中周期Rossby波可以产生调制不稳定,形成包络Rossby孤立波.由于δ效应会对波数产生影响,推广了大气阻塞理论的结果.Here is the abstract that this paper studied in the high latitudes considering promoting β plane,studied the basic flow has a weak nonlinear barotropic Rossby wave,shear the dipole blocking the formation of a theory and its impact. The method of using the multiple scale method is adopted,and got a Rossby wave packet satisfy nonlinear Schr9 dinger equation results, through δ effect influence on the wave number of wavelet packet, which affect Rossby frequency. Pointed out： when Rossby waves wave number meet k^2/3-F〈 m^2 〈4 k^2＋4/3 F（ k for zonal wavenumber,m for meridional wave number）, the period Rossby waves in the atmosphere can produce modulation instability, formation of envelope Rossby solitary wave. Due to δ effects will influence on the wave number,generalize the theory of atmospheric blocking results.

关 键 词：大气阻塞 β作用 δ效应 非线性Schrödinger方程 

分 类 号：P433[天文地球—大气科学及气象学]