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

ZHANG Xue; SUN Yuhuai

doi:10.21656/1000-0887.390352

Volume 40 Issue 12

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ZHANG Xue, SUN Yuhuai. Dynamical Analysis and Solutions for (3+1)-Dimensional Time Fractional KdV-Zakharov-Kuznetsov Equations[J]. Applied Mathematics and Mechanics, 2019, 40(12): 1345-1355. doi: 10.21656/1000-0887.390352

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

doi: 10.21656/1000-0887.390352

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)

Received Date: 2018-12-21
Rev Recd Date: 2019-07-08
Publish Date: 2019-12-01

Abstract

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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References

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