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应用多项式完全判别系统方法求解时空分数阶复Ginzburg-Landau方程

胡艳 孙峪怀

胡艳, 孙峪怀. 应用多项式完全判别系统方法求解时空分数阶复Ginzburg-Landau方程[J]. 应用数学和力学, 2021, 42(8): 874-880. doi: 10.21656/1000-0887.410392
引用本文: 胡艳, 孙峪怀. 应用多项式完全判别系统方法求解时空分数阶复Ginzburg-Landau方程[J]. 应用数学和力学, 2021, 42(8): 874-880. doi: 10.21656/1000-0887.410392
HU Yan, SUN Yuhuai. Solutions to Space-Time Fractional Complex Ginzburg-Landau Equations With the Complete Discrimination System for Polynomial Method[J]. Applied Mathematics and Mechanics, 2021, 42(8): 874-880. doi: 10.21656/1000-0887.410392
Citation: HU Yan, SUN Yuhuai. Solutions to Space-Time Fractional Complex Ginzburg-Landau Equations With the Complete Discrimination System for Polynomial Method[J]. Applied Mathematics and Mechanics, 2021, 42(8): 874-880. doi: 10.21656/1000-0887.410392

应用多项式完全判别系统方法求解时空分数阶复Ginzburg-Landau方程

doi: 10.21656/1000-0887.410392
基金项目: 

国家自然科学基金(12071323)

详细信息
    作者简介:

    胡艳(1995—),女,硕士生(E-mail: 1183353856@qq.com);孙峪怀(1963—),男,教授,博士(通讯作者. E-mail: sunyuhuai63@163.com).

    通讯作者:

    孙峪怀(1963—),男,教授,博士(通讯作者. E-mail: sunyuhuai63@163.com).

  • 中图分类号: O175

Solutions to Space-Time Fractional Complex Ginzburg-Landau Equations With the Complete Discrimination System for Polynomial Method

Funds: 

The National Natural Science Foundation of China(12071323)

  • 摘要: 研究了时空分数阶复Ginzburg-Landau方程.首先通过分数阶复变换将时空分数阶复Ginzburg-Landau方程转化为一个常微分方程.然后将常微分方程化为初等积分形式.最后用多项式完全判别系统法求得一系列精确解,其中包含有孤立波解、有理函数解、三角函数周期解、Jacobi椭圆函数双周期解.
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出版历程
  • 收稿日期:  2020-12-24
  • 修回日期:  2021-02-24
  • 网络出版日期:  2021-08-14

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