摘要
对大气非线性惯笥重力内波方程组,利用相平面分析法导出了相应的KdV方程。采用直接积分法求出两类有意义的孤立波解,讨论了波解的基本特征,并着重分析了一类奇异孤立波与某些天气系统(如青藏高原500hPa低涡)的可能联系。
A kind of KdV equation is derived from the equations of noninear internal inertial gravity waves in the atmosphere by using phase plane analysis method and is solved by applying integration method.The characteristics of two types of solitary waves are discussed.The results show that the relationships between the singular solitary wave and some weather facts (e.g. plateau vortex) exist.