Regular Article - Theoretical Physics
Semi-compactness and multiple oscillating pulses in kink scattering
Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil
2 Programa de Pós-Graduação em Física, Universidade Federal do Maranhão (UFMA), Campus Universitário do Bacanga, 65085-580, São Luís, Maranhão, Brazil
3 Centro de Ciências Agrárias e Ambientais-CCAA, Universidade Federal do Maranhão (UFMA), 65500-000, Chapadinha, Maranhão, Brazil
Accepted: 12 June 2021
Published online: 22 June 2021
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.
© The Author(s) 2021
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