Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes

Prigogine’s ideas of systems far from equilibrium and self-organization (Prigogine & Lefever. 1968 J. Chem. Phys.48, 1695–1700 (doi:10.1063/1.1668896); Glansdorff & Prigogine. 1971 Thermodynamic theory of structures, stability and fluctuations. New York, NY/London, UK: Wiley) deeply influenc...

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Main Authors: Akhmediev, N., Soto-Crespo, J. M., Vouzas, Peter, Devine, N., Chang, Wonkeun
Other Authors: School of Electrical and Electronic Engineering
Format: Article
Language:English
Published: 2022
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Online Access:https://hdl.handle.net/10356/157752
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Institution: Nanyang Technological University
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spelling sg-ntu-dr.10356-1577522022-05-12T07:05:20Z Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes Akhmediev, N. Soto-Crespo, J. M. Vouzas, Peter Devine, N. Chang, Wonkeun School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Dissipative Solitons Rogue Waves Prigogine’s ideas of systems far from equilibrium and self-organization (Prigogine & Lefever. 1968 J. Chem. Phys.48, 1695–1700 (doi:10.1063/1.1668896); Glansdorff & Prigogine. 1971 Thermodynamic theory of structures, stability and fluctuations. New York, NY/London, UK: Wiley) deeply influenced physics, and soliton science in particular. These ideas allowed the notion of solitons to be extended from purely integrable cases to the concept of dissipative solitons. The latter are qualitatively different from the solitons in integrable and Hamiltonian systems. The variety in their forms is huge. In this paper, one recent example is considered—dissipative solitons with extreme spikes (DSESs). It was found that DSESs exist in large regions of the parameter space of the complex cubic–quintic Ginzburg–Landau equation. A continuous variation in any of its parameters results in a rich structure of bifurcations. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)’. The work of J.M.S.-C. was supported by MINECO under contract TEC2015-71127-C2-1-R, and byC.A.M. under contract S2013/MIT-2790. The three authors, P.V., W.C. and N.A., acknowledge the support ofthe Australian Research Council (DE130101432 and DP150102057). J.M.S.-C. and N.A. also acknowledge thesupport of the Volkswagen Foundation. 2022-05-12T04:39:43Z 2022-05-12T04:39:43Z 2018 Journal Article Akhmediev, N., Soto-Crespo, J. M., Vouzas, P., Devine, N. & Chang, W. (2018). Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376(2124), 20180023-. https://dx.doi.org/10.1098/RSTA.2018.0023 1364-503X https://hdl.handle.net/10356/157752 10.1098/RSTA.2018.0023 WOS:000434928600010 2124 376 20180023 en Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences © 2018 The Author(s). Published by the Royal Society. All rights reserved.
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Engineering::Electrical and electronic engineering
Dissipative Solitons
Rogue Waves
spellingShingle Engineering::Electrical and electronic engineering
Dissipative Solitons
Rogue Waves
Akhmediev, N.
Soto-Crespo, J. M.
Vouzas, Peter
Devine, N.
Chang, Wonkeun
Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
description Prigogine’s ideas of systems far from equilibrium and self-organization (Prigogine & Lefever. 1968 J. Chem. Phys.48, 1695–1700 (doi:10.1063/1.1668896); Glansdorff & Prigogine. 1971 Thermodynamic theory of structures, stability and fluctuations. New York, NY/London, UK: Wiley) deeply influenced physics, and soliton science in particular. These ideas allowed the notion of solitons to be extended from purely integrable cases to the concept of dissipative solitons. The latter are qualitatively different from the solitons in integrable and Hamiltonian systems. The variety in their forms is huge. In this paper, one recent example is considered—dissipative solitons with extreme spikes (DSESs). It was found that DSESs exist in large regions of the parameter space of the complex cubic–quintic Ginzburg–Landau equation. A continuous variation in any of its parameters results in a rich structure of bifurcations. This article is part of the theme issue ‘Dissipative structures in matter out of equilibrium: from chemistry, photonics and biology (part 1)’.
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Akhmediev, N.
Soto-Crespo, J. M.
Vouzas, Peter
Devine, N.
Chang, Wonkeun
format Article
author Akhmediev, N.
Soto-Crespo, J. M.
Vouzas, Peter
Devine, N.
Chang, Wonkeun
author_sort Akhmediev, N.
title Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
title_short Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
title_full Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
title_fullStr Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
title_full_unstemmed Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
title_sort dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
publishDate 2022
url https://hdl.handle.net/10356/157752
_version_ 1734310326937059328