中性和不稳定层结大气的孤立行波精确解  

THE ACCURATE SOLITARY WAVE SOLUTION OF THE UNSTABLELY AND NEUTRALLY STRATIFIED ATMOSPHERE

作　　者：周江兴[1] 丁一汇[1] 刘益民[1] 

机构地区：[1]中国气象科学研究院

出　　处：《气象学报》1996年第2期195-206,共12页Acta Meteorologica Sinica

基　　金：国家自然科学基金

摘　　要：通过研究二维准动量无辐散、无摩擦层结大气非线性方程组的行波解问题证明，非线性行波解的本质属性是由参数ｂ的符号性质决定的。当ｂ＞０时，为周期解，其周期与相应的线性周期解的周期相等；当ｂ≤０时，为孤立波解。给出了一般行波解的解析表达式。并细致地研究了中性和不稳定层结大气中的孤立行波的特征，发现中性和不稳定层结大气中存在具有类似于飑线结构特征的孤立波。指出了中性和不稳定层结大气中的一般孤立行波物理量的分布特征。Through studying the wave solutions of the non-linear equations of the two-dimensional quasi-momentum non-divergent and non-frictional atmosphere, it is demonstrated that the characteristics of the nonlinear wave solution is determined by the sign of parameter b.If b >0.the solution is periodic and period is the same as that of the linear solution.If b < 0.the solution is solitary wave.The analytical expression of the wave solution is given in this paper.It is found that the solitary waves in the unstablely and neutrally stratified atmosphere have structures similiar to the squall line.The distribution characteristics of the physical variables are given.

关 键 词：孤立波 精确解 层结大气 不稳定层 

分 类 号：P433[天文地球—大气科学及气象学]