Standard

Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. / Chekhovskoy, Igor; Medvedev, S. B.; Vaseva, I. A. et al.

In: Communications in Nonlinear Science and Numerical Simulation, Vol. 96, 105718, 05.2021.

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

Harvard

Chekhovskoy, I, Medvedev, SB, Vaseva, IA, Sedov, EV & Fedoruk, MP 2021, 'Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem', Communications in Nonlinear Science and Numerical Simulation, vol. 96, 105718. https://doi.org/10.1016/j.cnsns.2021.105718

APA

Chekhovskoy, I., Medvedev, S. B., Vaseva, I. A., Sedov, E. V., & Fedoruk, M. P. (2021). Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. Communications in Nonlinear Science and Numerical Simulation, 96, [105718]. https://doi.org/10.1016/j.cnsns.2021.105718

Vancouver

Chekhovskoy I, Medvedev SB, Vaseva IA, Sedov EV, Fedoruk MP. Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. Communications in Nonlinear Science and Numerical Simulation. 2021 May;96:105718. doi: 10.1016/j.cnsns.2021.105718

Author

Chekhovskoy, Igor ; Medvedev, S. B. ; Vaseva, I. A. et al. / Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem. In: Communications in Nonlinear Science and Numerical Simulation. 2021 ; Vol. 96.

BibTeX

@article{cfa29d84fbeb49c38375f887390bd23f,
title = "Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem",
abstract = "We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function a(ζ), the localization of which does not require great accuracy. It allows to find all discrete eigenvalues taking into account their multiplicity faster than matrix methods and contour integrals. The method shows significant advantage over other methods when calculating a large discrete spectrum, both in speed and accuracy.",
keywords = "Direct scattering transform, Nonlinear fourier transform, Nonlinear schr{\"o}dinger equation, Zakharov-Shabat problem",
author = "Igor Chekhovskoy and Medvedev, {S. B.} and Vaseva, {I. A.} and Sedov, {E. V.} and Fedoruk, {M. P.}",
note = "Funding Information: Russian Science Foundation (RSF) (17-72-30006). The work of I.S.Ch. was supported by the state funding program FSUS-2020-0034. Publisher Copyright: {\textcopyright} 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.",
year = "2021",
month = may,
doi = "10.1016/j.cnsns.2021.105718",
language = "English",
volume = "96",
journal = "Communications in Nonlinear Science and Numerical Simulation",
issn = "1007-5704",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Introducing phase jump tracking - a fast method for eigenvalue evaluation of the direct Zakharov-Shabat problem

AU - Chekhovskoy, Igor

AU - Medvedev, S. B.

AU - Vaseva, I. A.

AU - Sedov, E. V.

AU - Fedoruk, M. P.

N1 - Funding Information: Russian Science Foundation (RSF) (17-72-30006). The work of I.S.Ch. was supported by the state funding program FSUS-2020-0034. Publisher Copyright: © 2021 Elsevier B.V. Copyright: Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2021/5

Y1 - 2021/5

N2 - We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function a(ζ), the localization of which does not require great accuracy. It allows to find all discrete eigenvalues taking into account their multiplicity faster than matrix methods and contour integrals. The method shows significant advantage over other methods when calculating a large discrete spectrum, both in speed and accuracy.

AB - We propose a new method for finding discrete eigenvalues for the direct Zakharov-Shabat problem, based on moving in the complex plane along the argument jumps of the function a(ζ), the localization of which does not require great accuracy. It allows to find all discrete eigenvalues taking into account their multiplicity faster than matrix methods and contour integrals. The method shows significant advantage over other methods when calculating a large discrete spectrum, both in speed and accuracy.

KW - Direct scattering transform

KW - Nonlinear fourier transform

KW - Nonlinear schrödinger equation

KW - Zakharov-Shabat problem

UR - http://www.scopus.com/inward/record.url?scp=85100030737&partnerID=8YFLogxK

UR - https://elibrary.ru/item.asp?id=44976729

U2 - 10.1016/j.cnsns.2021.105718

DO - 10.1016/j.cnsns.2021.105718

M3 - Article

AN - SCOPUS:85100030737

VL - 96

JO - Communications in Nonlinear Science and Numerical Simulation

JF - Communications in Nonlinear Science and Numerical Simulation

SN - 1007-5704

M1 - 105718

ER -

ID: 27692723