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浅水中度振幅孤立波解的分支

李春海 朱文静 陈爱永 王红浩

李春海, 朱文静, 陈爱永, 王红浩. 浅水中度振幅孤立波解的分支[J]. 应用数学和力学, 2014, 35(9): 1002-1010. doi: 10.3879/j.issn.1000-0887.2014.09.006
引用本文: 李春海, 朱文静, 陈爱永, 王红浩. 浅水中度振幅孤立波解的分支[J]. 应用数学和力学, 2014, 35(9): 1002-1010. doi: 10.3879/j.issn.1000-0887.2014.09.006
QIN Yu-yue, DENG Zi-chen, HU Wei-peng, . Bifurcations of Solitary Wave Solutions to the Shallow Water Equation of Moderate Amplitude[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1002-1010. doi: 10.3879/j.issn.1000-0887.2014.09.006
Citation: QIN Yu-yue, DENG Zi-chen, HU Wei-peng, . Bifurcations of Solitary Wave Solutions to the Shallow Water Equation of Moderate Amplitude[J]. Applied Mathematics and Mechanics, 2014, 35(9): 1002-1010. doi: 10.3879/j.issn.1000-0887.2014.09.006

浅水中度振幅孤立波解的分支

doi: 10.3879/j.issn.1000-0887.2014.09.006
基金项目: 国家自然科学基金(11161013;11361017); 广西自然科学基金(2014GXNSFBA118007); 广西高等学校优秀中青年骨干教师培养工程
详细信息
    作者简介:

    李春海(1982—),男,山东沂南人,助理研究员,硕士(E-mail: chunhai2001@163.com);陈爱永(1977—),男,湖南隆回人,副教授,博士(通讯作者. E-mail: aiyongchen@163.com).

  • 中图分类号: O357.1

Bifurcations of Solitary Wave Solutions to the Shallow Water Equation of Moderate Amplitude

Funds: The National Natural Science Foundation of China(11161013;11361017)
  • 摘要: 利用平面动力系统分支方法研究浅水中度振幅方程的定性行为和孤立波解.给出了系统在不同参数条件下的相图.获得了光滑孤立波、cuspon解和周期波解的隐式表达式.对方程的光滑孤立波解、cuspon解和周期波解进行了数值模拟.获得的结果完善了相关文献已有的结果.
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    [5] 李继彬. (2+1)-维广义Benney-Luke方程的精确行波解[J]. 应用数学和力学, 2008,29(11): 1261-1267.(LI Ji-bin. Exact traveling wave solutions to 2D-generalized Benney-Luke equation [J].Applied Mathematics and Mechanics,2008,29(11): 1261-1267.(in Chinese))
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出版历程
  • 收稿日期:  2013-11-18
  • 修回日期:  2014-06-25
  • 刊出日期:  2014-09-15

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