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

JIANG Lin; SUN Yuhuai; ZHANG Xue; HONG Yun

doi:10.21656/1000-0887.380299

Volume 39 Issue 11

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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

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

doi: 10.21656/1000-0887.380299

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610068, P.R.China

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

Abstract

Abstract

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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References

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