Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

Joceline Lega; Stephan Fauve

doi:10.1016/S0167-2789(96)00218-7

Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

Joceline Lega, Stephan Fauve

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

17 Scopus citations

Abstract

We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrödinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.

Original language	English (US)
Pages (from-to)	234-252
Number of pages	19
Journal	Physica D: Nonlinear Phenomena
Volume	102
Issue number	3-4
DOIs	https://doi.org/10.1016/S0167-2789(96)00218-7
State	Published - 1997

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Condensed Matter Physics
Applied Mathematics

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10.1016/S0167-2789(96)00218-7

Cite this

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title = "Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schr{\"o}dinger dark solitons",

abstract = "We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schr{\"o}dinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.",

author = "Joceline Lega and Stephan Fauve",

note = "Funding Information: This work has been supported by CNRS (Centre National de la Recherche Scientifique) through a Groupement de Recherche entitled Ordre et Chaos dans la Matibre.",

year = "1997",

doi = "10.1016/S0167-2789(96)00218-7",

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T1 - Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

AU - Lega, Joceline

AU - Fauve, Stephan

N1 - Funding Information: This work has been supported by CNRS (Centre National de la Recherche Scientifique) through a Groupement de Recherche entitled Ordre et Chaos dans la Matibre.

PY - 1997

Y1 - 1997

N2 - We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrödinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.

AB - We describe complex Ginzburg-Landau (CGL) traveling hole solutions as singular perturbations of nonlinear Schrödinger (NLS) dark solitons. Modulation of the free parameters of the NLS solutions leads to a dynamical system describing the CGL dynamics in the vicinity of a traveling hole solution.

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U2 - 10.1016/S0167-2789(96)00218-7

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ER -

Traveling hole solutions to the complex Ginzburg-Landau equation as perturbations of nonlinear Schrödinger dark solitons

Abstract

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