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A novel fourth-order difference scheme for the direct Zakharov-Shabat problem. / Medvedev, Sergey B.; Vaseva, Irina A.; Chekhovskoy, Igor S. et al.

The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019. OSA - The Optical Society, 2019. 2019-ci_1_5 (Optics InfoBase Conference Papers; Vol. Part F140-CLEO_Europe 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Medvedev, SB, Vaseva, IA, Chekhovskoy, IS & Fedoruk, MP 2019, A novel fourth-order difference scheme for the direct Zakharov-Shabat problem. in The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019., 2019-ci_1_5, Optics InfoBase Conference Papers, vol. Part F140-CLEO_Europe 2019, OSA - The Optical Society, The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019, Munich, Germany, 23.06.2019.

APA

Medvedev, S. B., Vaseva, I. A., Chekhovskoy, I. S., & Fedoruk, M. P. (2019). A novel fourth-order difference scheme for the direct Zakharov-Shabat problem. In The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019 [2019-ci_1_5] (Optics InfoBase Conference Papers; Vol. Part F140-CLEO_Europe 2019). OSA - The Optical Society.

Vancouver

Medvedev SB, Vaseva IA, Chekhovskoy IS, Fedoruk MP. A novel fourth-order difference scheme for the direct Zakharov-Shabat problem. In The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019. OSA - The Optical Society. 2019. 2019-ci_1_5. (Optics InfoBase Conference Papers).

Author

Medvedev, Sergey B. ; Vaseva, Irina A. ; Chekhovskoy, Igor S. et al. / A novel fourth-order difference scheme for the direct Zakharov-Shabat problem. The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019. OSA - The Optical Society, 2019. (Optics InfoBase Conference Papers).

BibTeX

@inproceedings{6143fe1a964d494eb08a90e8cced0000,
title = "A novel fourth-order difference scheme for the direct Zakharov-Shabat problem",
abstract = "The numerical implementation of the nonlinear Fourier transformation (NFT) for the nonlinear Shrodinger equation (NLSE) requires effective numerical algorithms for each stage of the method. The very first step in this scheme is the solution of the direct scattering problem for the Zakharov-Shabat system. One of the most efficient methods for the solution of this problem is the second-order Boffetta-Osborne algorithm [1]. A review of numerical methods for direct NFT associated with the focusing NLSE is presented in [2]. Among the methods considered in this paper only the Runge-Kutta method is of fourth order of approximation. However, the application of the Runge-Kutta method is limited by the potentials specified analytically. The NFT algorithms of higher order presented recently in [3] require special nonuniform distribution of the signal.",
author = "Medvedev, {Sergey B.} and Vaseva, {Irina A.} and Chekhovskoy, {Igor S.} and Fedoruk, {Mikhail P.}",
year = "2019",
month = jan,
day = "1",
language = "English",
series = "Optics InfoBase Conference Papers",
publisher = "OSA - The Optical Society",
booktitle = "The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019",
note = "The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019 ; Conference date: 23-06-2019 Through 27-06-2019",

}

RIS

TY - GEN

T1 - A novel fourth-order difference scheme for the direct Zakharov-Shabat problem

AU - Medvedev, Sergey B.

AU - Vaseva, Irina A.

AU - Chekhovskoy, Igor S.

AU - Fedoruk, Mikhail P.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - The numerical implementation of the nonlinear Fourier transformation (NFT) for the nonlinear Shrodinger equation (NLSE) requires effective numerical algorithms for each stage of the method. The very first step in this scheme is the solution of the direct scattering problem for the Zakharov-Shabat system. One of the most efficient methods for the solution of this problem is the second-order Boffetta-Osborne algorithm [1]. A review of numerical methods for direct NFT associated with the focusing NLSE is presented in [2]. Among the methods considered in this paper only the Runge-Kutta method is of fourth order of approximation. However, the application of the Runge-Kutta method is limited by the potentials specified analytically. The NFT algorithms of higher order presented recently in [3] require special nonuniform distribution of the signal.

AB - The numerical implementation of the nonlinear Fourier transformation (NFT) for the nonlinear Shrodinger equation (NLSE) requires effective numerical algorithms for each stage of the method. The very first step in this scheme is the solution of the direct scattering problem for the Zakharov-Shabat system. One of the most efficient methods for the solution of this problem is the second-order Boffetta-Osborne algorithm [1]. A review of numerical methods for direct NFT associated with the focusing NLSE is presented in [2]. Among the methods considered in this paper only the Runge-Kutta method is of fourth order of approximation. However, the application of the Runge-Kutta method is limited by the potentials specified analytically. The NFT algorithms of higher order presented recently in [3] require special nonuniform distribution of the signal.

UR - http://www.scopus.com/inward/record.url?scp=85084576882&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85084576882

T3 - Optics InfoBase Conference Papers

BT - The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019

PB - OSA - The Optical Society

T2 - The European Conference on Lasers and Electro-Optics, CLEO_Europe_2019

Y2 - 23 June 2019 through 27 June 2019

ER -

ID: 24311193