@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.}",
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",
note = "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",
}