Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование
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 конференций › статья в сборнике материалов конференции › научная › Рецензирование
}
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