地球流体中的非线性重力波  

NONLINEAR GRAVITY WAVE IN GEOPHYSICAL FLUID

作　　者：杨联贵[1] 候一筠 谢强[1] 程明华[1] 

机构地区：[1]中国科学院海洋研究所,青岛266071

出　　处：《海洋与湖沼》1997年第6期646-651,共6页Oceanologia Et Limnologia Sinica

基　　金：国家自然科学基金!49476276;山东省重点基金!950128;中国科学院重点基金!TZ952-S1-420

摘　　要：从地球流体运动浅水模式的非线性方程出发，采用行波分析法给出了平面自治系统，利用相图理论，讨论了行波解的性质，提出了平面非线性系统不存在孤立波的结论；利用K-B平均法，首次获得有限振幅惯性重力波以Rossby数作为控制参量的非线性频散关系。Variabe transformation is used to convert the nonlinear equations goverming geophysical flind's mohon in a shallow model into a plane automous system F(UV) = 0G (UV) = 0Phase portrait analysis on the basis of the geomtric theory of ordinare differenhal equations was used to study the travelling wave soluhon propenies. Th result indicates the there are no solitary waves in the nonlinear system.In order to obtain the dispersive relationship of the finite amplitud ineniagravity wave, Taylor expansion was used in the above system at the equllibrum point (0,0).Using the K-B average method in the expansion yield, the disPersive relationship can be written as (Rossby number for inertiagravity wave). Thus, the dispersive relationship includes Rossby number and the cireular frequency a increases with

关 键 词：非线性重力波 频散关系 地球流体 重力波 

分 类 号：P312[天文地球—固体地球物理学]