Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

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

Author(s): Juncheng Wei; Matthias Winter
Journal: Proc. Amer. Math. Soc. 133 (2005), 1787-1796.
MSC (2000): Primary 35B35, 76E30; Secondary 35B40, 76E06
Posted: November 19, 2004
MathSciNet review: 2120279
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Abstract | References | Similar articles | Additional information

Abstract: We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling

$\begin{displaymath}A_t= \Delta A +\mu A + c A^3 -A^5 -k A \left(\int_{R^n} A^2\,dx\right).\end{displaymath}$

We classify the existence and stability of all possible standing wave solutions.

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