Characterization of coherent structures in dissipative systems using nonlinear Fourier transform


We demonstrated how the nonlinear Fourier transform based on the Zakharov-Shabat spectral problem can be used to characterise coherent structures in dissipative systems. We consider as a particular, albeit important practical example model equation that is widely used to analyse laser radiation and demonstrate that dissipative solitons can be described by a limited number of degrees of freedom - discrete eigenvalues. Our approach can be applied for signal processing in a number of optical systems, from lasers to micro-resonators.

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Funding Information: This work was supported by the Russian Science Foundation (grant No. 17-72-30006).
Additional Information: Copyright 2020 SPIE. One print or electronic copy may be made for personal use only. Systematic reproduction, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper are prohibited.
Uncontrolled Keywords: Cubic Ginzburg-Landau equation,Dissipative systems,Nonlinear Fourier transform,Nonlinear Schrödinger equation,Numerical simulations,Electronic, Optical and Magnetic Materials,Condensed Matter Physics,Computer Science Applications,Applied Mathematics,Electrical and Electronic Engineering
Publication ISSN: 1996-756X
Last Modified: 01 Jan 2024 08:22
Date Deposited: 30 Nov 2020 11:53
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Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://www.spi ... 2.2555076.short (Publisher URL)
PURE Output Type: Conference article
Published Date: 2020-04-01
Accepted Date: 2020-01-01
Authors: Chekhovskoy, I. S.
Shtyrina, O. V.
Fedoruk, M. P.
Medvedev, S. B.
Turitsyn, S. K. (ORCID Profile 0000-0003-0101-3834)



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