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
Citation: 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

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

doi: 10.21656/1000-0887.390352
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
  • 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.
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