大气阻塞中的Rossby孤立波.pdf

Advances in Applied Mathematics 应用数学进展, 2017, 6(3), 388-397 Published Online May 2017 in Hans. /journal/aam /10.12677/aam.2017.63045 f Plane-Atmosphere Blocking the Rossby Solitary Wave Yue Chen, Jian Song Inner Mongolia University of Technology, Hohhot Neimenggu th th th Received: May 6 , 2017; accepted: May 24 , 2017; published: May 27 , 2017 Abstract In this paper, the multiple-scale method is adopted to study the basic flow which has a weak non- linear 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 equ- k 2 2 2 4 ation. It pointed out: when the wave number of Rossby wave meets −F m 4k + F (k for 3 3 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. Keywords Atmospheric Obstruction, Rossby Solitary Wave, Nonlinear Schrödinger Equation f平面-大气阻塞中的Rossby孤立波 陈 悦，宋 健 内蒙古工业大学，内蒙古 呼和浩特 收稿日期：2017年5月6 日；录用日期：2017年5月24 日；发布日期：2017年5月27 日 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 2 2 2 4 −F m 4k + F (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， 3 3 文章引用: 陈悦, 宋健. f 平面-大气阻塞中的Rossby 孤立波[J]. 应用数学进展, 2017, 6(3): 388-397. /10.12677/aam.2017.63045 陈悦，宋健 形成包络Rossby孤立波。 关键词 大气