大气中孤立波的相互作用  

Interactions of Solitary Waves in the Atmosphere

作　　者：朱勇[1,2] 

机构地区：[1]上海大学 [2]上海市应用数学和力学研究所

出　　处：《大气科学》1996年第6期751-756,共6页Chinese Journal of Atmospheric Sciences

基　　金：国家教委.上海市教委科研基金

摘　　要：本文讨论无限深上层流体和有限深下层流体的两层流体系统，该系统是大气的一种近似模型。采用拉格朗日坐标系，从无粘不可压流体力学方程式出发，利用摄动方法获得了所讨论系统中界面孤立波迎撞的摄动解。结果表明，在迎撞前后每个波独立地由Ｂｅｎｊａｍｉｎ－Ｏｎｏ方程所描述，即波的形状不发生变化，迎撞的效应由相移来体现。In this paper, a two-layer system with the infinitely deep upper layer and finite lower layer is discussed analytically, which is an approximate model for the atmosphere. By using the Lagrangian coordinates, from the basic equations for inviscid incompressible fluids, the perturbation solution for the head-on collision between interfacial solitary waves for the two-layer deep fluid system is obtained. It is shown that each wave is independently described by the Benjamin-Ono (BO) equation before and after collision, that is, the waves do not change their shapes; the effect of interaction is described by the phase shifts.

关 键 词：大气 弧立波 相互作用 两层流体模型 

分 类 号：P433[天文地球—大气科学及气象学]