@inproceedings{28956bd70dfd4f5684cfadb482a55bef,
title = "Characterization of coherent structures in dissipative systems using nonlinear Fourier transform",
abstract = "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.",
keywords = "Cubic Ginzburg-Landau equation, Dissipative systems, Nonlinear Fourier transform, Nonlinear Schr{\"o}dinger equation, Numerical simulations",
author = "Chekhovskoy, {I. S.} and Shtyrina, {O. V.} and Fedoruk, {M. P.} and Medvedev, {S. B.} and Turitsyn, {S. K.}",
note = "Funding Information: This work was supported by the Russian Science Foundation (grant No. 17-72-30006). Publisher Copyright: {\textcopyright} 2020 SPIE Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; Nonlinear Optics and its Applications 2020 ; Conference date: 06-04-2020 Through 10-04-2020",
year = "2020",
doi = "10.1117/12.2555076",
language = "English",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
publisher = "SPIE",
editor = "Broderick, {Neil G. R.} and Dudley, {John M.} and Peacock, {Anna C.}",
booktitle = "Nonlinear Optics and its Applications 2020",
address = "United States",
}