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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

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. doi: 10.21656/1000-0887.370297
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. doi: 10.21656/1000-0887.370297
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. doi: 10.21656/1000-0887.370297
Citation: 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. 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
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

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

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

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