(3+1)维时间分数阶KdV-Zakharov-Kuznetsov方程的分支分析及其行波解

张雪; 孙峪怀

doi:10.21656/1000-0887.390352

(3+1)维时间分数阶KdV-Zakharov-Kuznetsov方程的分支分析及其行波解

doi: 10.21656/1000-0887.390352

张雪^1,2,
孙峪怀²

¹西南交通大学希望学院, 成都 610400;²四川师范大学数学科学学院, 成都 610066

基金项目: 国家自然科学基金(11371267)；四川省自然科学重点基金(2012ZA135)

详细信息

作者简介:
张雪(1992—)，女，硕士(通讯作者. E-mail: 1443773002@qq.com).

中图分类号: O175.29
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- 被引次数: 0
出版历程
- 收稿日期: 2018-12-21
- 修回日期: 2019-07-08
- 刊出日期: 2019-12-01

Dynamical Analysis and Solutions for (3+1)-Dimensional Time Fractional KdV-Zakharov-Kuznetsov Equations

ZHANG Xue^1,2,
SUN Yuhuai²

¹Southwest Jiaotong University Hope College, Chengdu 610400, P.R.China;²School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, P.R.China

Funds: The National Natural Science Foundation of China(11371267)

摘要

摘要: 首先，运用拟设方法和动力系统分支方法,获得了(3+1)维时间分数阶KdV-Zakharov-Kuznetsov方程的奇异孤子解、亮孤子解、拓扑孤子解、周期爆破波解、孤立波解等.再利用MAPLE软件画出了KdV-Zakharov-Kuznetsov方程在不同条件下的分支相图.最后,讨论了行波解之间的联系.
- (3+1)维时间分数阶KdV-Zakharov-Kuznetsov方程 /
- 拟设方法 /
- 分支方法 /
- 分支相图 /
- 行波解
Abstract: By means of the ansatz method and the bifurcation analysis, the singular soliton solution, the bright soliton solution, the topological soliton solution, the periodic explosive solution and the solitary wave solution of the (3+1)-dimensional time fractional KdV-Zakharov- Kuznetsov equations were constructed. In addition, the phase portraits of KdV-Zakharov-Kuznetsov equations were obtained for various cases with the MAPLE software. Finally, the relationships among travelling wave solutions were discussed.
- (3+1)-dimensional time fractional KdV-Zakharov- Kuznetsov equation /
- ansatz method /
- bifurcation analysis /
- phase portrait /

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