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耦合Higgs方程和Maccari系统的行波解分支

王恒,  王汉权,  陈龙伟,  郑淑花

文章导航 > 应用数学和力学  > 2016 >  37(4): 434-440
王恒, 王汉权, 陈龙伟, 郑淑花. 耦合Higgs方程和Maccari系统的行波解分支[J]. 应用数学和力学, 2016, 37(4): 434-440. doi: 10.3879/j.issn.1000-0887.2016.04.011
引用本文: 王恒, 王汉权, 陈龙伟, 郑淑花. 耦合Higgs方程和Maccari系统的行波解分支[J]. 应用数学和力学, 2016, 37(4): 434-440. doi: 10.3879/j.issn.1000-0887.2016.04.011
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WANG Heng, WANG Han-quan, CHEN Long-wei, ZHENG Shu-hua. Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems[J]. Applied Mathematics and Mechanics, 2016, 37(4): 434-440. doi: 10.3879/j.issn.1000-0887.2016.04.011
Citation: WANG Heng, WANG Han-quan, CHEN Long-wei, ZHENG Shu-hua. Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems[J]. Applied Mathematics and Mechanics, 2016, 37(4): 434-440. doi: 10.3879/j.issn.1000-0887.2016.04.011
shu

耦合Higgs方程和Maccari系统的行波解分支

doi: 10.3879/j.issn.1000-0887.2016.04.011

  • 1云南财经大学 统计与数学学院, 昆明 650221;2云南水务投资股份有限公司 市场与投资中心 投资发展部, 昆明 650106

基金项目: 国家自然科学基金(11261065)
详细信息
    作者简介:

    王恒(1990—)，男，硕士生(E-mail: xiaoheng189@126.com)；陈龙伟(1966—)，男，博士(通讯作者. E-mail: 1187411801@qq.com).

  • 中图分类号: O357.41

Bifurcations of Exact Travelling Wave Solutions to Coupled Higgs Equations and Maccari Systems

  • 1School of Statistics and Mathematics, Yunnan University of Finance and Economics,Kunming 650221, P.R.China;2Investment and Development Department, Market and Investment Center, Yunnan Water Investment Co., Ltd., Kunming, 650106, P.R.China

Funds: The National Natural Science Foundation of China(11261065)

    摘要
  • 摘要: 利用动力系统方法，对耦合Higgs方程和Maccari系统的定性行为和行波解进行了研究.基于这种方法，给出了系统在不同参数条件下的相图，得到了包括孤立波解和周期波解在内的行波解.运用数值模拟的方法，对方程的光滑孤立波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研究成果.
    Abstract: With the dynamical system method, the qualitative performance of and the exact travelling wave solutions to the coupled Higgs equations and the Maccari systems were studied. Based on this method, all phase portraits of the systems in the parametric space were given. All possible bounded travelling wave solutions such as the solitary wave solutions and the periodic travelling wave solutions were obtained. Through numerical simulation, the smooth solitary wave solutions and the periodic travelling wave solutions were picturized. The results show that the present findings improve the related previous conclusions.
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    • 参考文献(9)
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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 for the 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:  2015-08-10
  • 修回日期:  2015-11-11
  • 刊出日期:  2016-04-15

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