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.

Publication DOI: https://doi.org/10.1103/PhysRevLett.122.153901
Divisions: College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT)
College of Engineering & Physical Sciences
Funding Information: Chekhovskoy I. S. 1,2 Shtyrina O. V. 1,2 Fedoruk M. P. 1,2 Medvedev S. B. 1,2 Turitsyn S. K. 1,3 1 Novosibirsk State University , Novosibirsk 630090, Russia 2 Institute of Computational Technologies , SB RAS, Novosibirsk 630090, Russia Aston Institute of
Additional Information: © 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
Uncontrolled Keywords: Physics and Astronomy(all)
Publication ISSN: 1079-7114
Last Modified: 26 Feb 2024 08:30
Date Deposited: 13 May 2019 11:04
Full Text Link:
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... Lett.122.153901 (Publisher URL)
PURE Output Type: Article
Published Date: 2019-04-15
Accepted Date: 2019-04-01
Authors: Chekhovskoy, I. S.
Shtyrina, O. V.
Fedoruk, M. P.
Medvedev, S. B.
Turitsyn, S. K. (ORCID Profile 0000-0003-0101-3834)

Download

[img]

Version: Published Version

| Preview

Export / Share Citation


Statistics

Additional statistics for this record