| 摘要: |
| 本文研究了中高纬度含有完整Coriolis力的准地转位涡方程问题.利用时空伸缩变换方法，获得了描述Rossby波的振幅形态满足非齐次mKdV-Burgers方程的结论.方程的近似解表明，弱地形效应对Rossby波的振幅产生强迫作用，并推广了文献[12]中的结果. |
| 关键词: Rossby波 准地转位涡方程 非齐次mKdV-Burgers方程 |
| DOI： |
| 分类号:O351;P433 |
| 基金项目:国家自然科学基金（11762011）；内蒙古自治区高等学校科学研究项目（NJZY19045）；内蒙古自治区自然科学基金项目（2018MS01006）；内蒙古农业大学基础学科科研启动基金（JC2016001，JC2018003）；内蒙古农业大学教学教改研究项目（JGYB201956）. |
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| INHOMOGENEOUS MKDV-BURGERS EQUATION UNDER WITH COMPLETE CORIOLIS FORCE AND WEAK TOPOGRAPHY |
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ZHOU Lan-suo1, LUAN Jin-feng2, YIN Xiao-jun1, NA Ren-man-du-la1
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1.College of Science, Inner Mongolia Agriculture University, Hohhot 010018, China;2.Inner Mongolia Vocational College of Physical Education, Hohhot 010051, China
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| Abstract: |
| In this paper, we study the problem of quasi geostrophic vortex equation with complete Coriolis force in mid and high latitude. By means of space-time scaling transformation, we obtain the conclusion of inhomogeneous mKdV-Burgers equation for describing the amplitude form of Rossbywave. The approximate solution shows that the weak topographic effect forces the amplitude of Rossbywave, which generalize the results in literature[12]. |
| Key words: Rossby waves geostrophic potential vorticity equation inhomogeneous mKdVBurgers equation |
