文献类型：期刊文献

中文题名：正压大气环流中的曲面周期波和孤波

英文题名：Periodic wave and solitary wave of curved face in barotropic atmospheric circulation

作者：毛杰键[1];吴波[1];付敏[1];黄瑛[1];杨建荣[1];任博[2];刘萍[3]

机构：[1]上饶师范学院物理与电子系;[2]绍兴文理学院非线性科学研究所;[3]电子科技大学中山学院电子与信息工程学院

年份：2014

期号：18

起止页码：49

中文期刊名：物理学报

外文期刊名：Acta Physica Sinica

收录：SCI-EXPANDED(收录号：WOS:000342679900004)、CSTPCD、、北大核心2011、EI(收录号：20144200103853)、Scopus(收录号：2-s2.0-84907718981)、WOS、北大核心、CSCD、CSCD2013_2014

基金：Project supported by the Natural Science Foundation of Jiangxi Province, China (Grant Nos. 2009GZW0026, 2012BAB202008), the National Natural Science Foundation of China (Grant Nos. 11465015, 11365017, 11305106, 11305031), and the Technology Landing Project of the Education Department of Jiangxi Province of China (Grant No. KJLD13086).

语种：中文

中文关键词：大尺度正压大气;非线性浅水波方程;曲面波;周期孤波

外文关键词：large-scale barotropic atmosphere, nonlinear shallow water equations, wave of curved face,period-solitary wave

中文摘要：大尺度正压大气环流的波动特征对理解气候变化具有重要的意义,而非线性浅水波方程组是描述大尺度正压大气环流的原始控制方程.本文对线性方程的复变函数解,通过二次适当的移植,求得浅水波方程组的发展方程的扰动位势的实变函数解,该实变函数解析解由基流项和波动项两部分组成.其中基流由波数、波速、β效应、变形半径和时间的任意函数共同决定;波动项与β效应有关.分析表明,在大尺度正压大气环流中扰动位势存在曲面的周期波和孤波的现象,周期波与孤波相互调制而呈现不稳定性;当多个周期孤波同时出现时,则彼此独立传播;扰动位势波动项中的时间任意函数对曲面周期孤波的波幅有调制作用,可控制波的产生、发展和消失.所得结果对研究大气波动现象和气候变化具有一定的理论参考价值.

外文摘要：The wave motion characteristic of large-scale barotropic atmospheric circulation, which can be described by the original nonlinear shallow water equations, is important for comprehending the climatic change. Employing the complex solution of linear equation, and transplanting it twice, the new analytic solution of disturbed height field of the nonlinear evolution equation is obtained which is constructed by the basic flow term and fluctuation term. The basic flow is codetermined by the wave number, wave velocity, β effect, radius of deformation and arbitrary function of time. The fluctuation term is related to β effect, and displays that in the disturbed height field there exist the periodic wave and solitary wave of curved face, which modulate each other and present instability;several periodic-solitary waves can propagate independently when they appear simultaneously;the arbitrary function of time in the fluctuation term has a modulation effect on the amplitude of periodic-solitary wave, and can control the occurrence, development and vanishing of wave. The results have a certain theoretical reference value for studying the atmospheric fluctuation phenomena and climatic change.