Traveling hole solutions of the complex Ginzburg-Landau equation: A review
type: Item
instance of: scholarly article
title: Traveling hole solutions of the complex Ginzburg-Landau equation: A review
zbMATH Open document ID: 0977.35023
DOI: 10.1016/S0167-2789(01)00174-9
author: Joceline Lega
published in: Physica D
publication date: 2002-01-06T00:00:00Z
review text: Traveling holes make a one-parameter family of solutions to complex Ginzburg-Landau (CGL) equations which asymptotically connect plane waves of different amplitudes and different wave numbers. This paper reviews recent works concerning such solutions. After a short introduction to CGL equations and weak turbulence, the author turns to some properties of traveling holes and their stability. Finally, some open questions are discussed.
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35Q55
zbMATH DE Number: 1624677
zbMATH Keywords: one-parameter family of solutions
zbMATH Keywords: traveling holes and their stability
MaRDI profile type: Publication
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full work available at URL: s0167-2789(01)00174-9
OpenAlex ID: W1982580135
description: scientific article; zbMATH DE number 1624677