均匀基流中非线性行波解的稳定性及其存在条件

本文利用地转动量近似＾「１」并结合行波解的方法，研究了均匀基本气流中的层结大气非线性波动，首先由绝热无磨擦的闭合方程组导得关于垂直Ｐ速度的单一变量的非线性方程，然后讨论了非线性方程解的稳定性，并求得近似的非线性方程的椭圆余弦波和孤立波解及其存在条件。

THE STABILITY AND EXISTENCE CONDITION OF NONLINEAR TRAVELING WAVE SOLUTION IN BASIC UNIFORM FLOW

Nonlinear waves in a stratified atmosphere with basic uniform flow are studied by adopting geostrophic momentum approximation(cf. HosKins, 1975) ) and the method of travelling wave solution. A nonlinear equation containing a unique variable of vertical p velocity is derived from a complete system of equations considering frictionless and adiabatic fluid. The stability of the solution for the nonlinear equation is discussed then. Furthermore, the approximate cnoidal wave solution,solitary wave solution and their existence condition are obtained.