https://doi.org/10.1140/epjp/s13360-024-05962-x
Regular Article
Structural features of steady-state traveling solutions of the Ginzburg–Landau equation in the phase approximation
1
Rzhanov Institute of Semiconductors Physics SB RAS, 13 Lavrentiev aven., 630090, Novosibirsk, Russia
2
Kutateladze Institute of Thermophysics SB RAS, 1 Lavrentiev aven., 630090, Novosibirsk, Russia
Received:
21
August
2024
Accepted:
30
December
2024
Published online:
10
January
2025
The article investigated solutions of the Ginzburg–Landau equation in the phase approximation. Families of periodic steady-state traveling solutions branching off from the trivial zero solution were constructed analytically and numerically. The critical values of the parameters at which restructuring of such families takes place have been found. Limitations, beyond which the phase approximation equations widely used in the literature become unacceptable, were indicated. For this model, the structural relationship of periodic solutions with soliton ones was demonstrated. The numerical and analytical results were compared.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2025
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
