Please use this identifier to cite or link to this item: https://hdl.handle.net/10356/157752
Title: Dissipative solitons with extreme spikes in the normal and anomalous dispersion regimes
Authors: Akhmediev, N.
Soto-Crespo, J. M.
Vouzas, Peter
Devine, N.
Chang, Wonkeun
Keywords: Engineering::Electrical and electronic engineering
Issue Date: 2018
Source: 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
Journal: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Abstract: 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)’.
URI: https://hdl.handle.net/10356/157752
ISSN: 1364-503X
DOI: 10.1098/RSTA.2018.0023
Rights: © 2018 The Author(s). Published by the Royal Society. All rights reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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