f平面-大气阻塞中的Rossby孤立波  

f Plane-Atmosphere Blocking the Rossby Solitary Wave

作　　者：陈悦 宋健 

机构地区：[1]内蒙古工业大学,内蒙古呼和浩特

出　　处：《应用数学进展》2017年第3期388-397,共10页Advances in Applied Mathematics

基　　金：国家自然科学基金(11362012,11562014,41465002);全球变化研究国家重大科学研究计划(2012CB955902)。

摘　　要：本文采用多重尺度法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。在f平面下求得它的波包满足非线性Schrödinger方程。指出:当Rossby波的波数满足 (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。In this paper, the multiple-scale method is adopted to study the basic flow which has a weak nonlinear barotropic Rossby wave, and a theory and its influence on the formation of dipole blocking are obtained. Under the f plane, its obtained wave packet satisfies the nonlinear Schrödinger equation. It pointed out: when the wave number of Rossby wave meets (k for zonal wave number, m for meridional wave number), the period Rossby wave in the atmosphere can produce modulation instability and form enveloping Rossby solitary wave.

关 键 词：大气阻塞 Rossby孤立波 非线性SCHRODINGER方程 

分 类 号：P4[天文地球—大气科学及气象学]