Dissipative solitons with a Lagrangian approach

Adrian Ankiewicz; Nail Akhmediev; Natasha Devine

doi:10.1016/j.yofte.2006.12.001

Dissipative solitons with a Lagrangian approach

Adrian Ankiewicz, Nail Akhmediev^*, Natasha Devine

^*Corresponding author for this work

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

46 Citations (Scopus)

Abstract

We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg-Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons.

Original language	English
Pages (from-to)	91-97
Number of pages	7
Journal	Optical Fiber Technology
Volume	13
Issue number	2
DOIs	https://doi.org/10.1016/j.yofte.2006.12.001
Publication status	Published - Apr 2007

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10.1016/j.yofte.2006.12.001

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title = "Dissipative solitons with a Lagrangian approach",

abstract = "We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg-Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons.",

keywords = "Dissipative solitons, Fiber lasers, Lagrangian approach",

author = "Adrian Ankiewicz and Nail Akhmediev and Natasha Devine",

year = "2007",

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AU - Ankiewicz, Adrian

AU - Akhmediev, Nail

AU - Devine, Natasha

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N2 - We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg-Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons.

AB - We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg-Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons.

KW - Dissipative solitons

KW - Fiber lasers

KW - Lagrangian approach

UR - https://www.scopus.com/pages/publications/33947102214

U2 - 10.1016/j.yofte.2006.12.001

DO - 10.1016/j.yofte.2006.12.001

M3 - Article

SN - 1068-5200

VL - 13

SP - 91

EP - 97

JO - Optical Fiber Technology

JF - Optical Fiber Technology

IS - 2

ER -

Dissipative solitons with a Lagrangian approach

Abstract

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