JIANG Lin, SUN Yuhuai, ZHANG Xue, HONG Yun. Exact Traveling Wave Solutions and Bifurcations of (2+1)-Dimensional Space-Time Fractional-Order Nizhnik-Novikov-Veslov Equations[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1313-1322. doi: 10.21656/1000-0887.380299
Citation: JIANG Lin, SUN Yuhuai, ZHANG Xue, HONG Yun. Exact Traveling Wave Solutions and Bifurcations of (2+1)-Dimensional Space-Time Fractional-Order Nizhnik-Novikov-Veslov Equations[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1313-1322. doi: 10.21656/1000-0887.380299

Exact Traveling Wave Solutions and Bifurcations of (2+1)-Dimensional Space-Time Fractional-Order Nizhnik-Novikov-Veslov Equations

doi: 10.21656/1000-0887.380299
Funds:  The National Natural Science Foundation of China(11371267)
  • Received Date: 2017-12-05
  • Rev Recd Date: 2018-05-13
  • Publish Date: 2018-11-01
  • The (2+1)-dimensional space-time fractional-order Nizhnik-Novikov-Veslov equations were transformed into ordinary differential equations through the fractional complex transform, then the Hamiltonian and the bifurcation phase portraits for the corresponding plane system to the equations were got with the bifurcation method for dynamical systems. According to the tracks in the phase portraits, solitary wave solutions, blow-up wave solutions, periodic wave solutions and periodic blow-up wave solutions to the equations were obtained. Relations between the traveling wave solutions were also discussed.
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