Traveling hole solutions of the complex Ginzburg-Landau equation: a review

被引：47
|
作者：
Lega, J [1 ]
机构：
[1] Univ Arizona, Dept Math, Tucson, AZ 85719 USA
来源：
PHYSICA D | 2001年 / 152卷
关键词：
complex Ginzburg-Landau equation; phase instability; traveling hole solutions;
D O I：
10.1016/S0167-2789(01)00174-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper reviews recent works on localized solutions of the one-dimensional complex Ginzburg-Landau (CGL) equation known as traveling holes. Such coherent structures seem to play an important role in the disordered dynamics displayed by CGL at a finite distance past the Benjamin-Feir instability threshold. We discuss these objects in the broader context of weak turbulence and summarize some of their properties. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：269 / 287
页数：19
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