Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model

Wonkeun Chang; Adrian Ankiewicz; Nail Akhmediev

doi:10.1016/j.physleta.2006.10.003

Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model

Wonkeun Chang, Adrian Ankiewicz^*, Nail Akhmediev

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

Abstract

We study creeping solitons of the complex Ginzburg-Landau equation (CGLE) using numerical simulations and analyze them with a low-dimensional model using the method of moments. We find the regions of existence of creeping solitons in the parameter space of the CGLE. We also provide a comparison with exact results obtained using numerical simulations. Crown

Original language	English
Pages (from-to)	31-36
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	362
Issue number	1
DOIs	https://doi.org/10.1016/j.physleta.2006.10.003
Publication status	Published - 19 Feb 2007

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10.1016/j.physleta.2006.10.003

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title = "Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model",

abstract = "We study creeping solitons of the complex Ginzburg-Landau equation (CGLE) using numerical simulations and analyze them with a low-dimensional model using the method of moments. We find the regions of existence of creeping solitons in the parameter space of the CGLE. We also provide a comparison with exact results obtained using numerical simulations. Crown",

keywords = "Dissipative soliton, Ginzburg-Landau equation, Method of moments",

author = "Wonkeun Chang and Adrian Ankiewicz and Nail Akhmediev",

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AU - Chang, Wonkeun

AU - Ankiewicz, Adrian

AU - Akhmediev, Nail

PY - 2007/2/19

Y1 - 2007/2/19

N2 - We study creeping solitons of the complex Ginzburg-Landau equation (CGLE) using numerical simulations and analyze them with a low-dimensional model using the method of moments. We find the regions of existence of creeping solitons in the parameter space of the CGLE. We also provide a comparison with exact results obtained using numerical simulations. Crown

AB - We study creeping solitons of the complex Ginzburg-Landau equation (CGLE) using numerical simulations and analyze them with a low-dimensional model using the method of moments. We find the regions of existence of creeping solitons in the parameter space of the CGLE. We also provide a comparison with exact results obtained using numerical simulations. Crown

KW - Dissipative soliton

KW - Ginzburg-Landau equation

KW - Method of moments

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JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

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ER -

Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model

Abstract

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