Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems

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Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems. / Chekhovskoy, I. S.; Shtyrina, O. V.; Fedoruk, M. P. et al.

In: Physical Review Letters, Vol. 122, No. 15, 153901, 15.04.2019.

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

BibTeX

@article{8be106352d824535aa3a9a020a687451,

title = "Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems",

abstract = "Using the cubic Ginzburg-Landau equation as an example, we demonstrate how the inverse scattering transform can be applied to characterize coherent structures in dissipative nonlinear systems. Using this approach one can reduce the number of the effective degrees of freedom in the system when the dynamic is dominated by the coherent structures, even if they are embedded in the dispersive waves and demonstrate unstable behavior.",

keywords = "SCATTERING TRANSFORM, COMPUTATION, SOLITON",

author = "Chekhovskoy, {I. S.} and Shtyrina, {O. V.} and Fedoruk, {M. P.} and Medvedev, {S. B.} and Turitsyn, {S. K.}",

note = "Publisher Copyright: {\textcopyright} 2019 American Physical Society.",

year = "2019",

month = apr,

day = "15",

doi = "10.1103/PhysRevLett.122.153901",

language = "English",

volume = "122",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "15",

}

RIS

TY - JOUR

T1 - Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems

AU - Chekhovskoy, I. S.

AU - Shtyrina, O. V.

AU - Fedoruk, M. P.

AU - Medvedev, S. B.

AU - Turitsyn, S. K.

PY - 2019/4/15

Y1 - 2019/4/15

N2 - Using the cubic Ginzburg-Landau equation as an example, we demonstrate how the inverse scattering transform can be applied to characterize coherent structures in dissipative nonlinear systems. Using this approach one can reduce the number of the effective degrees of freedom in the system when the dynamic is dominated by the coherent structures, even if they are embedded in the dispersive waves and demonstrate unstable behavior.

AB - Using the cubic Ginzburg-Landau equation as an example, we demonstrate how the inverse scattering transform can be applied to characterize coherent structures in dissipative nonlinear systems. Using this approach one can reduce the number of the effective degrees of freedom in the system when the dynamic is dominated by the coherent structures, even if they are embedded in the dispersive waves and demonstrate unstable behavior.

KW - SCATTERING TRANSFORM

KW - COMPUTATION

KW - SOLITON

UR - http://www.scopus.com/inward/record.url?scp=85064848527&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.122.153901

DO - 10.1103/PhysRevLett.122.153901

M3 - Article

C2 - 31050515

AN - SCOPUS:85064848527

VL - 122

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 15

M1 - 153901

ER -

ID: 19630866