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Application of the nonlinear Fourier transform for analysis of the coherent structures generation. / Chekhovskoy, I. S.; Shtyrina, O. V.; Fedoruk, M. P. и др.

2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025. Institute of Electrical and Electronics Engineers Inc., 2025. (2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференцийглава/разделнаучнаяРецензирование

Harvard

Chekhovskoy, IS, Shtyrina, OV, Fedoruk, MP, Sedov, EV & Turitsyn, SK 2025, Application of the nonlinear Fourier transform for analysis of the coherent structures generation. в 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025. 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025, Institute of Electrical and Electronics Engineers Inc., 2025 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference, Munich, Германия, 23.06.2025. https://doi.org/10.1109/CLEO/EUROPE-EQEC65582.2025.11109113

APA

Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Sedov, E. V., & Turitsyn, S. K. (2025). Application of the nonlinear Fourier transform for analysis of the coherent structures generation. в 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025 (2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CLEO/EUROPE-EQEC65582.2025.11109113

Vancouver

Chekhovskoy IS, Shtyrina OV, Fedoruk MP, Sedov EV, Turitsyn SK. Application of the nonlinear Fourier transform for analysis of the coherent structures generation. в 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025. Institute of Electrical and Electronics Engineers Inc. 2025. (2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025). doi: 10.1109/CLEO/EUROPE-EQEC65582.2025.11109113

Author

Chekhovskoy, I. S. ; Shtyrina, O. V. ; Fedoruk, M. P. и др. / Application of the nonlinear Fourier transform for analysis of the coherent structures generation. 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025. Institute of Electrical and Electronics Engineers Inc., 2025. (2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025).

BibTeX

@inbook{6d9203b079cf4207beec22c67c5b9c45,
title = "Application of the nonlinear Fourier transform for analysis of the coherent structures generation",
abstract = "The conventional (linear) Fourier transform is a widely used mathematical method in science and engineering. It allows the signal of interest to be represented as a set of spectral harmonics, which, in many situations, helps in understanding the structure and properties of that signal. In certain linear equations, where the spectral harmonics evolve independently, the Fourier transform provides a straightforward description of complex temporal or spatial dynamics. A related approach exists for certain classes of integrable nonlinear equations that can be solved via the inverse scattering transform [1, 2], also known as the nonlinear Fourier transform (NFT). A particularly important example for optical applications is the nonlinear Schr{\"o}dinger equation (NLSE), which is one of the fundamental equations of nonlinear science, relevant to various fields of physics and practical engineering. However, NFT can also be used to analyze localized waveforms, rather than strictly to solve integrable equations. In particular, it allows one to describe a waveform or the evolution of coherent structures with fewer parameters than traditional harmonic Fourier analysis.",
author = "Chekhovskoy, {I. S.} and Shtyrina, {O. V.} and Fedoruk, {M. P.} and Sedov, {E. V.} and Turitsyn, {S. K.}",
year = "2025",
doi = "10.1109/CLEO/EUROPE-EQEC65582.2025.11109113",
language = "English",
isbn = "9798331512521",
series = "2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
booktitle = "2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025",
address = "United States",
note = "2025 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference, CLEO-2025 ; Conference date: 23-06-2025 Through 27-06-2025",

}

RIS

TY - CHAP

T1 - Application of the nonlinear Fourier transform for analysis of the coherent structures generation

AU - Chekhovskoy, I. S.

AU - Shtyrina, O. V.

AU - Fedoruk, M. P.

AU - Sedov, E. V.

AU - Turitsyn, S. K.

PY - 2025

Y1 - 2025

N2 - The conventional (linear) Fourier transform is a widely used mathematical method in science and engineering. It allows the signal of interest to be represented as a set of spectral harmonics, which, in many situations, helps in understanding the structure and properties of that signal. In certain linear equations, where the spectral harmonics evolve independently, the Fourier transform provides a straightforward description of complex temporal or spatial dynamics. A related approach exists for certain classes of integrable nonlinear equations that can be solved via the inverse scattering transform [1, 2], also known as the nonlinear Fourier transform (NFT). A particularly important example for optical applications is the nonlinear Schrödinger equation (NLSE), which is one of the fundamental equations of nonlinear science, relevant to various fields of physics and practical engineering. However, NFT can also be used to analyze localized waveforms, rather than strictly to solve integrable equations. In particular, it allows one to describe a waveform or the evolution of coherent structures with fewer parameters than traditional harmonic Fourier analysis.

AB - The conventional (linear) Fourier transform is a widely used mathematical method in science and engineering. It allows the signal of interest to be represented as a set of spectral harmonics, which, in many situations, helps in understanding the structure and properties of that signal. In certain linear equations, where the spectral harmonics evolve independently, the Fourier transform provides a straightforward description of complex temporal or spatial dynamics. A related approach exists for certain classes of integrable nonlinear equations that can be solved via the inverse scattering transform [1, 2], also known as the nonlinear Fourier transform (NFT). A particularly important example for optical applications is the nonlinear Schrödinger equation (NLSE), which is one of the fundamental equations of nonlinear science, relevant to various fields of physics and practical engineering. However, NFT can also be used to analyze localized waveforms, rather than strictly to solve integrable equations. In particular, it allows one to describe a waveform or the evolution of coherent structures with fewer parameters than traditional harmonic Fourier analysis.

UR - https://www.mendeley.com/catalogue/75b2f327-1aad-3693-9973-49384b28a77d/

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U2 - 10.1109/CLEO/EUROPE-EQEC65582.2025.11109113

DO - 10.1109/CLEO/EUROPE-EQEC65582.2025.11109113

M3 - Chapter

SN - 9798331512521

T3 - 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025

BT - 2025 Conference on Lasers and Electro-Optics Europe and European Quantum Electronics Conference, CLEO/Europe-EQEC 2025

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2025 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference

Y2 - 23 June 2025 through 27 June 2025

ER -

ID: 69782203