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...

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Main Authors: D. Bazeia, Adalto R. Gomes, Fabiano C. Simas
Format: Article
Language:English
Published: SpringerOpen 2021-06-01
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.
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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