Chekhovskoy, I. S., Shtyrina, O. V., Fedoruk, M. P., Medvedev, S. B. and Turitsyn, S. K. (2019). Nonlinear Fourier Transform for Analysis of Coherent Structures in Dissipative Systems. Physical Review Letters, 122 (15),
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 |
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Divisions: | College of Engineering & Physical Sciences > School of Informatics and Digital Engineering > Electrical and Electronic Engineering College of Engineering & Physical Sciences > Aston Institute of Photonics Technology (AIPT) College of Engineering & Physical Sciences |
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 |
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. ( ![]() |