On a cubic-quintic Ginzburg-Landau equation with global coupling期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Juncheng Wei Matthias Winter

Affiliation:	Department of Mathematics, The Chinese University of Hong Kong, Shatin, Hong Kong ; Fachbereich Mathematik, Universität Stuttgart, D-70511 Stuttgart, Germany

Abstract:	We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling $begin{displaymath}A_t= Delta A +mu A + c A^3 -A^5 -k A left(int_{R^n} A^2,dxright).end{displaymath}$ We classify the existence and stability of all possible standing wave solutions.

Keywords:	Cubic-quintic Ginzburg-Landau equation stability pattern formation

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