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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 |
ZHOU Lan-suo,LUAN Jin-feng,YIN Xiao-jun,NA Ren-man-du-la
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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 |