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

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo de la conferencia › revisión exhaustiva

6 Citas (Scopus)

Resumen

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

Idioma original	Inglés
Páginas (desde-hasta)	66-71
Número de páginas	6
Publicación	Physica A: Statistical Mechanics and its Applications
Volumen	356
N.º	1
DOI	https://doi.org/10.1016/j.physa.2005.05.014
Estado	Publicada - 1 oct. 2005
Evento	Nonequilibrium Statistical Mechanics and Nonlinear Physics (MEDYFINOL'04) - Duración: 2 dic. 2004 → 4 dic. 2004

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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",

volume = "356",

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journal = "Physica A: Statistical Mechanics and its Applications",

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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

PY - 2005/10/1

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 - https://www.scopus.com/pages/publications/23844507554

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

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