https://doi.org/10.1140/epjp/s13360-025-06203-5
Regular Article
Physical aspects of the deformation of 
kinks in a generalized 
model
1
Programa de Pós-graduação em Física, Universidade Federal do Maranhão, 65080-805, São Luís, MA, Brazil
2
Departamento de Física, Universidade Federal do Ceará, Fortaleza, CA, Brazil
3
Department of Physics and Astronomy, Institute of Cosmology, Tufts University, 02155, Medford, MA, USA
4
Departamento de Física, Universidade Federal do Maranhão, 65080-805, São Luís, MA, Brazil
a carlos@fisica.ufc.br, carllin.almeida@gmail.com
Received:
12
December
2024
Accepted:
4
March
2025
Published online:
31
March
2025
We study a generalized model that gives rise to BPS kink–antikink configurations with compacton-like profiles. One observes that the positive parameter controlling the generalizing function promotes an infinity degeneracy of the BPS solutions. We then use the Differential Configurational Complexity technique to distinguish the degenerate configurations, which allows us to obtain the parameter values providing the most likely field profiles. Besides, the analysis of the excitation spectrum of the model shows the existence of translational and vibrational modes. Thus, the emergence of bound states of solitons (bions) and resonance phenomena is guaranteed when analyzing the scattering of kink–antikink structures. In this way, one notes that depending on the initial velocity, the collision can be inelastic or quasi-elastic, even in the case of compacton-like configurations.
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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.
