摘要
通过对球面正压粘性大气非线性扰动的研究表明:由于波动之间的弱非线性相互作用,球面小扰动的波包演变是由一种较为简单的方程形式控制,当此粘性力消失时,该方程为非线性 Schr(?)dinger 方程。研究结果还表明:非线性 Schr(?)dinger 孤立波的形成,有两个因子非常重要,一是运动的球面性,另一个则是基本风场的经向切变。前者反映了球面运动的特殊性。本文还从另一个角度证明了粘性力的作用对波动起着加强能量的耗散作用,不利于这种几率波(schr(?)dinger 孤立波)的形成。
The characters of nonlinear disturbance of viscous barotropic atmosphere on sphere is dis-cussed.It shows that the envelop of disturbance is controlled by a simple equation because of thereactions of weak nonlinear interaction between waves.The simple equation changes into nonlin-ear Schrodinger equation when viscous effect is died away.The result also shows that two factors,one is the effect of curvature of the sphere and the other is the shear of the basic wind field,arevery important for the formation of the equation.The paper is also pointed out that the viscous ef-fect may act as dispersion to enhance the energy of the envelop and it may be unfavourable forthe formation of this statistical solitary wave(Schr(?)dinger wave).
出处
《应用气象学报》
CSCD
北大核心
1992年第3期299-305,共7页
Journal of Applied Meteorological Science