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Numerical Solution of the Direct Zakharov–Shabat Scattering Problem. / Gorbenko, N. I.; Il’in, V. P.; Krylov, A. M. et al.

In: Numerical Analysis and Applications, Vol. 13, No. 2, 01.06.2020, p. 95-102.

Research output: Contribution to journal › Article › peer-review

Harvard

Gorbenko, NI, Il’in, VP, Krylov, AM & Frumin, LL 2020, 'Numerical Solution of the Direct Zakharov–Shabat Scattering Problem', Numerical Analysis and Applications, vol. 13, no. 2, pp. 95-102. https://doi.org/10.1134/S1995423920020019

APA

Gorbenko, N. I., Il’in, V. P., Krylov, A. M., & Frumin, L. L. (2020). Numerical Solution of the Direct Zakharov–Shabat Scattering Problem. Numerical Analysis and Applications, 13(2), 95-102. https://doi.org/10.1134/S1995423920020019

Vancouver

Gorbenko NI, Il’in VP, Krylov AM, Frumin LL. Numerical Solution of the Direct Zakharov–Shabat Scattering Problem. Numerical Analysis and Applications. 2020 Jun 1;13(2):95-102. doi: 10.1134/S1995423920020019

Author

Gorbenko, N. I. ; Il’in, V. P. ; Krylov, A. M. et al. / Numerical Solution of the Direct Zakharov–Shabat Scattering Problem. In: Numerical Analysis and Applications. 2020 ; Vol. 13, No. 2. pp. 95-102.

BibTeX

@article{f8c7cba11f9d403dbf28dda242b5c594,
title = "Numerical Solution of the Direct Zakharov–Shabat Scattering Problem",
abstract = "A numerical solution of the direct scattering problem for the systemof Zakharov–Shabat equations is considered. Based on the Marchukidentity, a method of fourth-order approximation accuracy is proposed. Anumerical simulation of the scattering problem is made using twocharacteristic boundary value problems with known solutions as anexample. The calculations have shown that the algorithm has highaccuracy, which is necessary in many practical applications of opticaland acoustic sensing in applied optics and geophysics.",
keywords = "direct scattering problem, fourth order difference scheme, Marchuk identity",
author = "Gorbenko, {N. I.} and Il{\textquoteright}in, {V. P.} and Krylov, {A. M.} and Frumin, {L. L.}",
year = "2020",
month = jun,
day = "1",
doi = "10.1134/S1995423920020019",
language = "English",
volume = "13",
pages = "95--102",
journal = "Numerical Analysis and Applications",
issn = "1995-4239",
publisher = "Maik Nauka-Interperiodica Publishing",
number = "2",

}

RIS

TY - JOUR

T1 - Numerical Solution of the Direct Zakharov–Shabat Scattering Problem

AU - Gorbenko, N. I.

AU - Il’in, V. P.

AU - Krylov, A. M.

AU - Frumin, L. L.

PY - 2020/6/1

Y1 - 2020/6/1

N2 - A numerical solution of the direct scattering problem for the systemof Zakharov–Shabat equations is considered. Based on the Marchukidentity, a method of fourth-order approximation accuracy is proposed. Anumerical simulation of the scattering problem is made using twocharacteristic boundary value problems with known solutions as anexample. The calculations have shown that the algorithm has highaccuracy, which is necessary in many practical applications of opticaland acoustic sensing in applied optics and geophysics.

AB - A numerical solution of the direct scattering problem for the systemof Zakharov–Shabat equations is considered. Based on the Marchukidentity, a method of fourth-order approximation accuracy is proposed. Anumerical simulation of the scattering problem is made using twocharacteristic boundary value problems with known solutions as anexample. The calculations have shown that the algorithm has highaccuracy, which is necessary in many practical applications of opticaland acoustic sensing in applied optics and geophysics.

KW - direct scattering problem

KW - fourth order difference scheme

KW - Marchuk identity

UR - http://www.scopus.com/inward/record.url?scp=85086898851&partnerID=8YFLogxK

U2 - 10.1134/S1995423920020019

DO - 10.1134/S1995423920020019

M3 - Article

AN - SCOPUS:85086898851

VL - 13

SP - 95

EP - 102

JO - Numerical Analysis and Applications

JF - Numerical Analysis and Applications

SN - 1995-4239

IS - 2

ER -

ID: 24616087