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Nonlinear fourier transform for analysis of coherent structures in dissipative systems. / Chekhovskoy, I. S.; Shtyrina, O. V.; Fedoruk, M. P. и др.

2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. 8872485 (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаяРецензирование

Harvard

Chekhovskoy, IS, Shtyrina, OV, Fedoruk, MP, Medvedev, SB & Turitsyn, SK 2019, Nonlinear fourier transform for analysis of coherent structures in dissipative systems. в 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019., 8872485, 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019, Institute of Electrical and Electronics Engineers Inc., 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019, Munich, Германия, 23.06.2019. https://doi.org/10.1109/CLEOE-EQEC.2019.8872485

APA

Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B., & Turitsyn, S. K. (2019). Nonlinear fourier transform for analysis of coherent structures in dissipative systems. в 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 [8872485] (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CLEOE-EQEC.2019.8872485

Vancouver

Chekhovskoy IS, Shtyrina OV, Fedoruk MP, Medvedev SB, Turitsyn SK. Nonlinear fourier transform for analysis of coherent structures in dissipative systems. в 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc. 2019. 8872485. (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019). doi: 10.1109/CLEOE-EQEC.2019.8872485

Author

Chekhovskoy, I. S. ; Shtyrina, O. V. ; Fedoruk, M. P. и др. / Nonlinear fourier transform for analysis of coherent structures in dissipative systems. 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019. Institute of Electrical and Electronics Engineers Inc., 2019. (2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019).

BibTeX

@inproceedings{8bbeafbe7df147169a65ec2dfa1577ff,
title = "Nonlinear fourier transform for analysis of coherent structures in dissipative systems",
abstract = "The conventional Fourier transform is widely used mathematical methods in science and technology. It allows representing the signal/field under study as a set of spectral harmonics, that it many situations simplify understanding of such signal/field. In some linear equations, where spectral harmonics evolve independently of each other, the Fourier transform provides a straightforward description of otherwise complex dynamics. Something similar is available for certain classes of nonlinear equations that are integrable using the inverse scattering transform [1,2], also known as the nonlinear Fourier transform (NFT). Here we discuss potential of its application in dissipative, non-integrable systems to characterize coherent structures. We present a new approach for describing the evolution of a nonlinear system considering the cubic Ginzburg-Landau Equation (CGLE) as a particularly important example in the context of laser system modeling: [Equation Present] .",
author = "Chekhovskoy, {I. S.} and Shtyrina, {O. V.} and Fedoruk, {M. P.} and Medvedev, {S. B.} and Turitsyn, {S. K.}",
note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 ; Conference date: 23-06-2019 Through 27-06-2019",
year = "2019",
month = jun,
day = "1",
doi = "10.1109/CLEOE-EQEC.2019.8872485",
language = "English",
series = "2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019",
address = "United States",

}

RIS

TY - GEN

T1 - Nonlinear fourier transform for analysis of coherent structures in dissipative systems

AU - Chekhovskoy, I. S.

AU - Shtyrina, O. V.

AU - Fedoruk, M. P.

AU - Medvedev, S. B.

AU - Turitsyn, S. K.

N1 - Publisher Copyright: © 2019 IEEE.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - The conventional Fourier transform is widely used mathematical methods in science and technology. It allows representing the signal/field under study as a set of spectral harmonics, that it many situations simplify understanding of such signal/field. In some linear equations, where spectral harmonics evolve independently of each other, the Fourier transform provides a straightforward description of otherwise complex dynamics. Something similar is available for certain classes of nonlinear equations that are integrable using the inverse scattering transform [1,2], also known as the nonlinear Fourier transform (NFT). Here we discuss potential of its application in dissipative, non-integrable systems to characterize coherent structures. We present a new approach for describing the evolution of a nonlinear system considering the cubic Ginzburg-Landau Equation (CGLE) as a particularly important example in the context of laser system modeling: [Equation Present] .

AB - The conventional Fourier transform is widely used mathematical methods in science and technology. It allows representing the signal/field under study as a set of spectral harmonics, that it many situations simplify understanding of such signal/field. In some linear equations, where spectral harmonics evolve independently of each other, the Fourier transform provides a straightforward description of otherwise complex dynamics. Something similar is available for certain classes of nonlinear equations that are integrable using the inverse scattering transform [1,2], also known as the nonlinear Fourier transform (NFT). Here we discuss potential of its application in dissipative, non-integrable systems to characterize coherent structures. We present a new approach for describing the evolution of a nonlinear system considering the cubic Ginzburg-Landau Equation (CGLE) as a particularly important example in the context of laser system modeling: [Equation Present] .

UR - http://www.scopus.com/inward/record.url?scp=85074669011&partnerID=8YFLogxK

U2 - 10.1109/CLEOE-EQEC.2019.8872485

DO - 10.1109/CLEOE-EQEC.2019.8872485

M3 - Conference contribution

T3 - 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

BT - 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

Y2 - 23 June 2019 through 27 June 2019

ER -

ID: 22315088