Semi-compactness and multiple oscillating pulses in kink scattering
Abstract In this work we consider models of asymmetric kinks, where the behavior of the solution in one side is different from the other side. Also, the models depend of an integer n and, with the increase of n, the constructed kink assumes a hybrid character: a compactlike profile on one side and a...
Main Authors: | , , |
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Format: | Article |
Language: | English |
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SpringerOpen
2021-06-01
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Series: | European Physical Journal C: Particles and Fields |
Online Access: | https://doi.org/10.1140/epjc/s10052-021-09336-w |
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author | D. Bazeia Adalto R. Gomes Fabiano C. Simas |
author_facet | D. Bazeia Adalto R. Gomes Fabiano C. Simas |
author_sort | D. Bazeia |
collection | DOAJ |
description | Abstract In this work we consider models of asymmetric kinks, where the behavior of the solution in one side is different from the other side. Also, the models depend of an integer n and, with the increase of n, the constructed kink assumes a hybrid character: a compactlike profile on one side and a kinklike profile on the other side. We investigate numerically the kink-antikink and antikink-kink dynamics, with the aim to understand the effect of the transition of the usual kink to the semi-compacton structure. The kink-antikink process shows the formation of one-bounce windows for small values of n. The increase of n favors the breaking this structure and the appearance of oscillatory modes. For antikink-kink collisions we report the appearance of two-bounce windows for small values of the parameter. We also found an intricate structure of two-oscillation windows. |
first_indexed | 2024-12-14T18:18:42Z |
format | Article |
id | doaj.art-9727d5f2201b42cfb5de135cb26852d5 |
institution | Directory Open Access Journal |
issn | 1434-6044 1434-6052 |
language | English |
last_indexed | 2024-12-14T18:18:42Z |
publishDate | 2021-06-01 |
publisher | SpringerOpen |
record_format | Article |
series | European Physical Journal C: Particles and Fields |
spelling | doaj.art-9727d5f2201b42cfb5de135cb26852d52022-12-21T22:52:08ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522021-06-0181611210.1140/epjc/s10052-021-09336-wSemi-compactness and multiple oscillating pulses in kink scatteringD. Bazeia0Adalto R. Gomes1Fabiano C. Simas2Departamento de Física, Universidade Federal da ParaíbaPrograma de Pós-Graduação em Física, Universidade Federal do Maranhão (UFMA)Programa de Pós-Graduação em Física, Universidade Federal do Maranhão (UFMA)Abstract In this work we consider models of asymmetric kinks, where the behavior of the solution in one side is different from the other side. Also, the models depend of an integer n and, with the increase of n, the constructed kink assumes a hybrid character: a compactlike profile on one side and a kinklike profile on the other side. We investigate numerically the kink-antikink and antikink-kink dynamics, with the aim to understand the effect of the transition of the usual kink to the semi-compacton structure. The kink-antikink process shows the formation of one-bounce windows for small values of n. The increase of n favors the breaking this structure and the appearance of oscillatory modes. For antikink-kink collisions we report the appearance of two-bounce windows for small values of the parameter. We also found an intricate structure of two-oscillation windows.https://doi.org/10.1140/epjc/s10052-021-09336-w |
spellingShingle | D. Bazeia Adalto R. Gomes Fabiano C. Simas Semi-compactness and multiple oscillating pulses in kink scattering European Physical Journal C: Particles and Fields |
title | Semi-compactness and multiple oscillating pulses in kink scattering |
title_full | Semi-compactness and multiple oscillating pulses in kink scattering |
title_fullStr | Semi-compactness and multiple oscillating pulses in kink scattering |
title_full_unstemmed | Semi-compactness and multiple oscillating pulses in kink scattering |
title_short | Semi-compactness and multiple oscillating pulses in kink scattering |
title_sort | semi compactness and multiple oscillating pulses in kink scattering |
url | https://doi.org/10.1140/epjc/s10052-021-09336-w |
work_keys_str_mv | AT dbazeia semicompactnessandmultipleoscillatingpulsesinkinkscattering AT adaltorgomes semicompactnessandmultipleoscillatingpulsesinkinkscattering AT fabianocsimas semicompactnessandmultipleoscillatingpulsesinkinkscattering |