On the stable hole solutions in the complex Ginzburg-Landau equation

Orazio Descalzi; Gustavo Düring; Enrique Tirapegui

doi:10.1016/j.physa.2005.05.014

On the stable hole solutions in the complex Ginzburg-Landau equation

Orazio Descalzi^*, Gustavo Düring, Enrique Tirapegui

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

Abstract

We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical simulations.

Original language	English
Pages (from-to)	66-71
Number of pages	6
Journal	Physica A: Statistical Mechanics and its Applications
Volume	356
Issue number	1
DOIs	https://doi.org/10.1016/j.physa.2005.05.014
State	Published - 1 Oct 2005
Event	Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04) - Duration: 2 Dec 2004 → 4 Dec 2004

Keywords

Ginzburg-Landau equation
Stable hole solutions

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10.1016/j.physa.2005.05.014

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title = "On the stable hole solutions in the complex Ginzburg-Landau equation",

abstract = "We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical simulations.",

keywords = "Ginzburg-Landau equation, Stable hole solutions",

author = "Orazio Descalzi and Gustavo D{\"u}ring and Enrique Tirapegui",

year = "2005",

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doi = "10.1016/j.physa.2005.05.014",

language = "English",

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T1 - On the stable hole solutions in the complex Ginzburg-Landau equation

AU - Descalzi, Orazio

AU - Düring, Gustavo

AU - Tirapegui, Enrique

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Y1 - 2005/10/1

N2 - We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical simulations.

AB - We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The analytic results are in good agreement with numerical simulations.

KW - Ginzburg-Landau equation

KW - Stable hole solutions

UR - http://www.scopus.com/inward/record.url?scp=23844507554&partnerID=8YFLogxK

U2 - 10.1016/j.physa.2005.05.014

DO - 10.1016/j.physa.2005.05.014

M3 - Conference article

AN - SCOPUS:23844507554

SN - 0378-4371

VL - 356

SP - 66

EP - 71

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1

T2 - Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04)

Y2 - 2 December 2004 through 4 December 2004

ER -

On the stable hole solutions in the complex Ginzburg-Landau equation

Abstract

Keywords

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