https://doi.org/10.1140/epjp/s13360-023-04832-2
Regular Article
Dynamics of kink train solutions in deformed multiple Sine–Gordon models
1
Department of Physics, School of Sciences, Ferdowsi University of Mashhad, 91775-1436, Mashhad, Iran
2
Physics Department, Shahid Beheshti University, Evin, 19839, Tehran, Iran
a
marziyeh.peyravi@stu-mail.um.ac.ir
Received:
28
July
2023
Accepted:
24
December
2023
Published online:
12
January
2024
This paper examines the effects of a thin layer of inhomogeneity on periodic solutions of the Multiple-Sine–Gordon (MsG) model. We investigate the dynamics of the perturbed Double-Sine–Gordon (DsG) system as a significant and more practical case of such configurations. The thin barrier acts as a potential well (potential barrier) and causes critical deformations in kink train solutions and some basic properties of the periodic solutions, such as the type of sub-kinks, their amplitude, energy and wavelength. Stability of the initial kink chain during the interaction with medium defects is analyzed using their phase diagram. Sudden changes in the profile of kink trains due to the disruption of their amplitude and wavelength are considered. The time evolution of moving kink chain solutions while interacting with medium fractures is also studied.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. 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.
