On a cubic-quintic Ginzburg-Landau equation with global coupling

被引：5
|
作者：
Wei, JC [1 ]
Winter, M
机构：
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] Univ Stuttgart, Fachbereich Math, D-70511 Stuttgart, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2005年 / 133卷 / 06期
关键词：
cubic-quintic Ginzburg-Landau equation; stability; pattern formation;
D O I：
10.1090/S0002-9939-04-07770-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A(t) = Delta A + mu A + cA(3) - A(5) - kA (integral(Rn) A(2) dx). We classify the existence and stability of all possible standing wave solutions.
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页码：1787 / 1796
页数：10
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