Numerical algorithm with fourth-order accuracy for the direct Zakharov-Shabat problem

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Numerical algorithm with fourth-order accuracy for the direct Zakharov-Shabat problem. / Medvedev, Sergey; Vaseva, Irina; Chekhovskoy, Igor et al.

In: Optics Letters, Vol. 44, No. 9, 01.05.2019, p. 2264-2267.

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

BibTeX

@article{61fc5d80059f456b9befb6a86383a78b,

title = "Numerical algorithm with fourth-order accuracy for the direct Zakharov-Shabat problem",

abstract = "We propose a finite-difference algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and represents a generalization of the second-order Boffetta-Osborne scheme. Our method permits the Zakharov-Shabat spectral problem to be solved more effectively for continuous and discrete spectra.",

keywords = "NONLINEAR FOURIER-TRANSFORM, TRANSMISSION, COMPUTATION",

author = "Sergey Medvedev and Irina Vaseva and Igor Chekhovskoy and Mikhail Fedoruk",

note = "Publisher Copyright: {\textcopyright} 2019 Optical Society of America",

year = "2019",

month = may,

day = "1",

doi = "10.1364/OL.44.002264",

language = "English",

volume = "44",

pages = "2264--2267",

journal = "Optics Letters",

issn = "0146-9592",

publisher = "The Optical Society",

number = "9",

}

RIS

TY - JOUR

T1 - Numerical algorithm with fourth-order accuracy for the direct Zakharov-Shabat problem

AU - Medvedev, Sergey

AU - Vaseva, Irina

AU - Chekhovskoy, Igor

AU - Fedoruk, Mikhail

PY - 2019/5/1

Y1 - 2019/5/1

N2 - We propose a finite-difference algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and represents a generalization of the second-order Boffetta-Osborne scheme. Our method permits the Zakharov-Shabat spectral problem to be solved more effectively for continuous and discrete spectra.

AB - We propose a finite-difference algorithm for solving the initial problem for the Zakharov-Shabat system. This method has the fourth order of accuracy and represents a generalization of the second-order Boffetta-Osborne scheme. Our method permits the Zakharov-Shabat spectral problem to be solved more effectively for continuous and discrete spectra.

KW - NONLINEAR FOURIER-TRANSFORM

KW - TRANSMISSION

KW - COMPUTATION

UR - http://www.scopus.com/inward/record.url?scp=85065488853&partnerID=8YFLogxK

U2 - 10.1364/OL.44.002264

DO - 10.1364/OL.44.002264

M3 - Article

C2 - 31042199

AN - SCOPUS:85065488853

VL - 44

SP - 2264

EP - 2267

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 9

ER -

ID: 20039386