摘要
本文采用多重时空尺度展开的方法,对于不可压缩等温大气,导出了二维情况下低频声重波的非线性Schrdinger方程,讨论了声重波的非线性性质.在垂直方向上,声重波具有可传播性和幅度随高度增长的特性;在水平方向上,声重波能表现为孤子包络调制的波列.
Nonlinear behaviours of low frequency acoustic-gravity waves are studied in this paper. The atmosphere is considered to be imcompressible and isothermal, and the gravitational acceleration is independent of the height. The nonlinear wave equations are obtained by using the technique of multiple time and space scales. It is shown that the acoustic-gravity waves propagating parallel to the earth's surface satisfy the nonlinear Schrodinger equation which has solutions of soliton-envelopes of wave trains.
出处
《地球物理学报》
SCIE
EI
CAS
CSCD
北大核心
1991年第5期531-537,共7页
Chinese Journal of Geophysics
基金
国家自然科学基金
关键词
大气
声重波
非线性方程
孤立波
Acoustic-gravity wave, Nonlinear Schrodinger equation, Solitary waves.
