| 完整Coriolis力作用下带有外源强迫的非线性KdV方程 |
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| 引用本文： | 尹晓军,杨联贵,宋健,张瑞岗,杨红丽,刘全生.完整Coriolis力作用下带有外源强迫的非线性KdV方程[J].应用数学和力学,2017,38(9):1053-1060. |
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| 作者姓名： | 尹晓军 杨联贵 宋健 张瑞岗 杨红丽 刘全生 |
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| 作者单位： | 1内蒙古大学 数学科学学院, 呼和浩特 010021;2内蒙古农业大学 理学院, 呼和浩特 010018;3内蒙古工业大学 理学院, 呼和浩特 010051 |
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| 基金项目： | 国家自然科学基金(11362012)，国家自然科学基金青年科学基金(11202092 |
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| 摘 要： | 利用摄动方法，从描写既有Coriolis力垂直分量又含有水平分量的位涡方程出发，给出了近赤道非线性Rossby波所满足的具有外源强迫的非线性KdV方程，并利用Jacobi椭圆函数展开法，求解了改进后的非线性KdV方程的行波解及孤立波解.通过分析KdV方程的行波解，指出Coriolis力的水平分量和外源对Rossby波动的影响.
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| 关 键 词： | 完整Coriolis力 Jacobi椭圆函数 非线性Rossby波 |
| 收稿时间： | 2016-09-28 |
The Nonlinear KdV Equation Under External Forcing With the Complete Coriolis Force |
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| YIN Xiao-jun,YANG Lian-gui,SONG Jian,ZHANG Rui-gang,YANG Hong-li,LIU Quan-sheng.The Nonlinear KdV Equation Under External Forcing With the Complete Coriolis Force[J].Applied Mathematics and Mechanics,2017,38(9):1053-1060. |
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| Authors: | YIN Xiao-jun YANG Lian-gui SONG Jian ZHANG Rui-gang YANG Hong-li LIU Quan-sheng |
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| Affiliation: | 1School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P.R.China;2College of Science, Inner Mongolia Agricultural University, Hohhot 010018, P.R.China;3College of Science, Inner Mongolia University of Technology, Hohhot 010051, P.R.China |
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| Abstract: | The nonlinear KdV equation under external forcing was deduced from the potential vorticity equation involving both the vertical and the horizontal components of the Coriolis force with the perturbation method near the equatorial Rossby waves.Then the periodic solution of the model was obtained by means of the Jacobi elliptic functions.It is shown that the horizontal components of the Coriolis force play an important role in the structures of the Rossby waves. |
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| Keywords: | complete Coriolis force Jacobi elliptic function nonlinear Rossby wave |
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