缓变地形下Rossby波振幅演变满足的带有强迫项的KdV方程  

KdV equation with a forcing term for the evolution of the amplitude of Rossby waves along a slowly changing topography

作　　者：达朝究[1] 丑纪范[1] 

机构地区：[1]兰州大学大气科学学院

出　　处：《物理学报》2008年第4期2595-2599,共5页Acta Physica Sinica

基　　金：国家重点基础研究发展规划(批准号:2006CB400503);国家自然科学基金(批准号:90411008,40675044)资助的课题~~

摘　　要：运用非线性方法与摄动法,讨论了当地形随时间缓变时Rossby波振幅的演变问题.从均值流体准地转涡度方程推导,得到Rossby波振幅演变满足带有强迫项的KdV方程的结论,而地形随时间的缓慢变化诱导了该方程的强迫项.Employing the weakly nonlinear method and perturbation method, the evolution of the amplitude of Rossby waves when the topography slowly changes is studied. A KdV equation with a forcing term governing this evolution is obtained from the quasigeostrophic vorticity equation, and the forcing term is induced by the slowly changing topography.

关 键 词：非线性ROSSBY波 带有强迫项的KdV方程 摄动法 缓变地形 

分 类 号：O411.1[理学—理论物理] O175.2[理学—物理]