弱二次切变基本流下地形和β变化的Rossby孤立波  

Solitary Rossby waves with topography and the change of beta under the weak quadric shearing basic flow

作　　者：宋健[1] 刘全生[2] 杨联贵[2] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051 [2]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《地球物理学进展》2016年第2期589-592,共4页Progress in Geophysics

基　　金：国家自然科学基金(11362012);国家自然科学基金青年科学基金(11202092;11301259);内蒙古自治区高等学校研究项目(NJZY16096);内蒙古工业大学科学研究项目(ZD201411)联合资助

摘　　要：在正压流体中从包含地形的准地转位涡出发,利用行波变换和约化摄动法导出了弱二次切变基本流下β变化和地形共同作用的正压Rossby孤立波振幅满足非齐次KdV方程.并计算了非齐次KdV方程的系数,说明弱二次切变基本气流、β变化和地形对Rossby孤立波的作用.In barotropic fluids, based on the quasi-geostrophic potential vorticity equation,an inhomogeneous nonlinear Kortewegde Vries（ Kd V） equation including topographic forcing and the change of beta under the quadric shearing basic flow derived by employing the perturbation method and stretching transforms of time and space. With inspection of the evolution of the amplitude of Rossby envelope solitary waves,it is found that the change of beta and topography effect are the important factor,the solitary Rossby waves is induced thought the basic stream function has a quadric shearing flow. The inhomogeneous nonlinear Kd V equation describing the evolution of the amplitude of solitary Rossby wave as the change of Rossby parameter and topographic forcing is obtained under the quadric shearing basic flow.

关 键 词：弱二次切变基本气流 β变化 地形 KDV方程 

分 类 号：P433[天文地球—大气科学及气象学]