完整Coriolis力作用下带有外源强迫的非线性KdV方程

尹晓军; 杨联贵; 宋健; 张瑞岗; 杨红丽; 刘全生

doi:10.21656/1000-0887.370297

完整Coriolis力作用下带有外源强迫的非线性KdV方程

doi: 10.21656/1000-0887.370297

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

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;11301592)

详细信息

作者简介:
尹晓军（1982—），男，讲师，博士生(E-mail: yinxiaojun_2002@163.com);杨联贵（1961—），男，教授，博士生导师(通讯作者. E-mail: lgyang@imu.edu.cn).

中图分类号: P401
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出版历程
- 收稿日期: 2016-09-28
- 修回日期: 2016-11-08
- 刊出日期: 2017-09-15

The Nonlinear KdV Equation Under External Forcing With the Complete Coriolis Force

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

Funds: The National Natural Science Foundation of China(11362012)；The National Science Fund for Young Scholars of China(11202092;11301592)

摘要

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.
- 完整Coriolis力 /
- Jacobi椭圆函数 /
- 非线性Rossby波
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.
- complete Coriolis force /
- Jacobi elliptic function /
- nonlinear Rossby wave

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参考文献(22)

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完整Coriolis力作用下带有外源强迫的非线性KdV方程

doi: 10.21656/1000-0887.370297

作者简介:
尹晓军（1982—），男，讲师，博士生(E-mail: yinxiaojun_2002@163.com);杨联贵（1961—），男，教授，博士生导师(通讯作者. E-mail: lgyang@imu.edu.cn).

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The Nonlinear KdV Equation Under External Forcing With the Complete Coriolis Force

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留言板

完整Coriolis力作用下带有外源强迫的非线性KdV方程

doi: 10.21656/1000-0887.370297

作者简介: 尹晓军（1982—），男，讲师，博士生(E-mail: yinxiaojun_2002@163.com);杨联贵（1961—），男，教授，博士生导师(通讯作者. E-mail: lgyang@imu.edu.cn).

计量

出版历程

The Nonlinear KdV Equation Under External Forcing With the Complete Coriolis Force

计量

出版历程

目录

作者简介:
尹晓军（1982—），男，讲师，博士生(E-mail: yinxiaojun_2002@163.com);杨联贵（1961—），男，教授，博士生导师(通讯作者. E-mail: lgyang@imu.edu.cn).