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本文从层结旋转大气三维非静力平衡方程出发,导出了平行基本气流中的有限振幅扰动波的KdV方程。对于层结为常数和矩形截面中无切变的基本气流的简单情况,进行了求解孤波解的一些基本性质,合理地解释了低空急流左侧形成飑线和雷雨群列队的现象。同时也说明了低空急流上与之相伴随的超地转脉动特征。在层结和平行气流为空间函数的一般情况下,对于孤波解波幅与斜压-惯性-层结联合稳定度之间关系的定性分析表明,在稳定度下降的地方会有更强的垂直环流在孤波中发展,并有类似暴雨的爆发性特点。
In this paper, based on the three-dimensional non-static equilibrium equation of the rotating atmosphere in the stratified layer, the KdV equation of the finite amplitude disturbance wave in the parallel basic airflow is derived. For simple cases of stratified constant flow and no-shear basic flow in a rectangular cross section, some basic properties for solving solitary wave solutions are given, and the phenomena that the formation of squall lines and thunderstorm groups on the left side of low-level jet stream are reasonably explained. At the same time, it also shows the over-ground pulsating characteristics accompanying low-level jet stream. In the general case of stratified and parallel airflow as a function of space, a qualitative analysis of the relationship between solitary wave amplitude and baroclinic-inertial-strata joint stability shows that there is a stronger vertical The circulation develops in a solitary wave and has the explosive characteristics of a torrential rain.