scholarly journals CONSERVATION LAWS, EXACT SOLUTIONS OF TIME-SPACE FRACTIONAL GENERALIZED GINZBURG-LANDAU EQUATION FOR SHALLOW WAKE FLOWS

2020 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Lei Fu ◽  
◽  
Huanhe Dong ◽  
Chaudry Masood Khalique ◽  
Hongwei Yang ◽  
...  
Keyword(s):  
Conservation Laws ◽  
Exact Solutions ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Wake Flows ◽  
Ginzburg Landau Equation ◽  
Time Space

scholarly journals New Exact Solutions of the Fractional Complex Ginzburg–Landau Equation

2021 ◽  
Vol 2021 ◽  
pp. 1-8
Author(s):  
Chun Huang ◽  
Zhao Li
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Wave Transformation ◽  
Ginzburg Landau ◽  
New Exact Solutions ◽  
Ginzburg Landau Equation ◽  
Time Space ◽  
System Method ◽  
Complete Discrimination System ◽  
Optic Fibers

In this paper, we apply the complete discrimination system method to establish the exact solutions of the fractional complex Ginzburg–Landau equation in the sense of the conformable fractional derivative. Firstly, by the fractional traveling wave transformation, time-space fractional complex Ginzburg–Landau equation is reduced to an ordinary differential equation. Secondly, some new exact solutions are obtained by the complete discrimination system method of the three-order polynomial; these solutions include solitary wave solutions, rational function solutions, triangle function solutions, and Jacobian elliptic function solutions. Finally, two numerical simulations are imitated to explain the propagation of optical pulses in optic fibers. At the same time, the comparison between the previous results and our results are also given.

Multi-order exact solutions of the complex Ginzburg–Landau equation

2000 ◽  
Vol 269 (5-6) ◽  
pp. 319-324 ◽  
Author(s):  
Shikuo Liu ◽  
Zuntao Fu ◽  
Shida Liu ◽  
Qiang Zhao
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Exact solutions to complex Ginzburg–Landau equation

Pramana ◽  
2018 ◽  
Vol 91 (2) ◽  
Author(s):  
Yang Liu ◽  
Shuangqing Chen ◽  
Lixin Wei ◽  
Bing Guan
Keyword(s):  
Exact Solutions ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation
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