Solutions to Space-Time Fractional Complex Ginzburg-Landau Equations With the Complete Discrimination System for Polynomial Method

HU Yan; SUN Yuhuai

doi:10.21656/1000-0887.410392

Volume 42 Issue 8

Aug. 2021

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HU Yan, SUN Yuhuai. Solutions to Space-Time Fractional Complex Ginzburg-Landau Equations With the Complete Discrimination System for Polynomial Method[J]. Applied Mathematics and Mechanics, 2021, 42(8): 874-880. doi: 10.21656/1000-0887.410392

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Solutions to Space-Time Fractional Complex Ginzburg-Landau Equations With the Complete Discrimination System for Polynomial Method

doi: 10.21656/1000-0887.410392

HU Yan,
SUN Yuhuai^,

School of Mathematical Sciences, Sichuan Normal University, Chengdu 610066, P.R.China

Funds:

The National Natural Science Foundation of China(12071323)

Received Date: 2020-12-24
Rev Recd Date: 2021-02-24

Available Online: 2021-08-14

Abstract

Abstract

The space-time fractional complex Ginzburg-Landau equation was studied. Firstly, the space-time fractional complex Ginzburg-Landau equation was transformed into the ordinary differential equation through the fractional complex transform. Secondly, the ordinary differential equation was reduced to an elementary integral form. Finally, a series of exact solutions including solitary wave solutions, rational function type solutions, triangle function type periodic solutions, and Jacobian elliptic function doubly-periodic solutions, were constructed with the complete discrimination system for polynomial method.

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References

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