Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems

I. S. Chekhovskoy, O. V. Shtyrina, M. P. Fedoruk, S. B. Medvedev, S. K. Turitsyn

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number153901
JournalPhysical Review Letters
Volume122
Issue number15
DOIs
Publication statusPublished - 15 Apr 2019

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Landau-Ginzburg equations
inverse scattering
nonlinear systems
degrees of freedom

Bibliographical note

© 2019 American Physical Society. Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems. I. S. Chekhovskoy, O. V. Shtyrina, M. P. Fedoruk, S. B. Medvedev, and S. K. Turitsyn. Phys. Rev. Lett. 122, 153901 – Published 15 April 2019

Cite this

Chekhovskoy, I. S. ; Shtyrina, O. V. ; Fedoruk, M. P. ; Medvedev, S. B. ; Turitsyn, S. K. / Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems. In: Physical Review Letters. 2019 ; Vol. 122, No. 15.
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Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems. / Chekhovskoy, I. S.; Shtyrina, O. V.; Fedoruk, M. P.; Medvedev, S. B.; Turitsyn, S. K.

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

Research output: Contribution to journalArticle

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