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| 摘要: |
| 本文研究了两层流体中具有变化的Rossby参数和地形Rossby波的问题.利用行波法和摄动的方法，获得了Rossby波振幅满足齐次KdV方程和齐次mKdV方程，推广了Rossby参数和地形对Rossby孤立波的影响. |
| 关键词: 变化的β 齐次KdV方程 齐次mKdV方程 地形 |
| DOI： |
| 分类号:O351;P433 |
| 基金项目:Supported by Natural Science Foundation of China (11362012; 11562014); the scientiflc research project of the Inner Mongolia Autonomous Region high school (NJZY16096); the Scientiflc research project of Inner Mongolia University of Technology (ZD201411). |
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| ROSSBY WAVES WITH THE CHANGE OF β AND THE INFLUENCE OF TOPOGRAPHY IN A TWO-LAYER FLUID |
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SONG Jian,LIU Quan-sheng,CEN Rui-ting,YANG Lian-gui
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| Abstract: |
| In this paper, we study the problem of the change of Rossby parameter and the topography in a two-layer fluid. Based on the traveling wave method and the perturbation method, the Rossby wave amplitude is obtained to satisfy the homogeneous KdV equation and the homogeneous mKdV equation, which describe the evolution of the amplitude of solitary Rossby waves. The efiects of Rossby parameters and topography on Rossby wave are generalized. |
| Key words: change of β homogeneous KdV equation homogeneous mKdV equation topography |
