Nonlinear fourier transform for analysis of coherent structures in dissipative systems

Результат исследования: Публикации в книгах, отчётах, сборниках, трудах конференцийстатья в сборнике материалов конференциинаучнаярецензирование

Аннотация

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] .

Язык оригиналаанглийский
Название основной публикации2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
ИздательInstitute of Electrical and Electronics Engineers Inc.
ISBN (электронное издание)9781728104690
DOI
СостояниеОпубликовано - 1 июн 2019
Событие2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019 - Munich, Германия
Продолжительность: 23 июн 201927 июн 2019

Серия публикаций

Название2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019

Конференция

Конференция2019 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2019
СтранаГермания
ГородMunich
Период23.06.201927.06.2019

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    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