近赤道Rossby孤立波的新模型及动力学机制研究  

Study on the New Model and Dynamical Mechanism of the Near Equatorial Rossby Solitary Waves

作　　者：安景博 张瑞岗[1] 杨联贵[1] AN Jingbo;ZHANG Ruigang;YANG Liangui(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021

出　　处：《内蒙古大学学报（自然科学版）》2024年第4期359-367,共9页Journal of Inner Mongolia University：Natural Science Edition

基　　金：国家自然科学基金项目(12102205,12262025,12362027);内蒙古高等学校青年科技英才项目(NJYT23098);内蒙古高等学校创新团队发展计划项目(NMGIRT2208)。

摘　　要：基于Verkley和Velde的数学模型,研究了线性基本流和非线性地形共同作用下的近赤道非线性Rossby波动力学机制,利用多重尺度和弱非线性法,得到Rossby波振幅新的非线性演化方程,进一步讨论了在给定参数条件下的热带大气和海洋的动力学机制。Based on the mathematical model given by Verkley and Velde,the present paper considers the dynamical mechanism of the near Equatorial Rossby solitary waves under the effects of both linear background current and nonlinear topography.A nonlinear evolutionary equation for the Rossby wave amplitude is derived by using the methods of multiple scales and weak nonlinear expansions.Discussions on the physical mechanism of the atmospheres and oceans in the tropics are further done according to the specific parameters of basic current and topography.

关 键 词：位势涡度 地形 赤道Rossby波 Hermite方程 BOUSSINESQ方程 

分 类 号：O351.2[理学—流体力学]