Doubly periodic wave solution to two-dimensional diffractive-diffusive Ginzburg–Landau equation

2009 ◽  
Vol 42 (4) ◽  
pp. 2288-2296 ◽  
Author(s):  
Donglong Li ◽  
Zhengde Dai ◽  
Yanfeng Guo ◽  
Hongwei Zhou
Keyword(s):  
Wave Solution ◽  
Landau Equation ◽  
Periodic Wave ◽  
Periodic Wave Solution ◽  
Two Dimensional ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Spiral Solutions of the Two-Dimensional Complex Ginzburg–Landau Equation

2001 ◽  
Vol 35 (2) ◽  
pp. 159-161
Author(s):  
Liu Shi-Da ◽  
Liu Shi-Kuo ◽  
Fu Zun-Tao ◽  
Zhao Qiang
Keyword(s):  
Landau Equation ◽  
Two Dimensional ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

Onset of chaos in the weakly dissipative two-dimensional complex Ginzburg-Landau equation

1996 ◽  
Vol T67 ◽  
pp. 143-147 ◽  
Author(s):  
Michael A Zaks ◽  
Alexander A Nepomnyashchy ◽  
Boris A Malomed
Keyword(s):  
Landau Equation ◽  
Two Dimensional ◽  
Ginzburg Landau ◽  
Onset Of Chaos ◽  
Ginzburg Landau Equation

scholarly journals Bounded solutions for an ordinary differential system from the Ginzburg–Landau theory

2020 ◽  
Vol 150 (6) ◽  
pp. 3378-3408
Author(s):  
Anne Beaulieu
Keyword(s):  
Bounded Solution ◽  
Landau Theory ◽  
Landau Equation ◽  
The Other ◽  
Two Dimensional ◽  
Bounded Solutions ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Specific Contribution ◽  
Solution Problem

In this paper, we look at a linear system of ordinary differential equations as derived from the two-dimensional Ginzburg–Landau equation. In two cases, it is known that this system admits bounded solutions coming from the invariance of the Ginzburg–Landau equation by translations and rotations. The specific contribution of our work is to prove that in the other cases, the system does not admit any bounded solutions. We show that this bounded solution problem is related to an eigenvalue problem.

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