Scattering of Kinks in Noncanonical sine-Gordon Model

In this paper, we numerically study the scattering of kinks in the noncanonical sine-Gordon model using Fourier spectral methods. The model depends on two free parameters, which control the localized inner structure in the energy density and the characteristics of the scattering potential. It has be...

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Bibliographic Details
Published in:arXiv.org 2022-03
Main Authors: Takyi, I, Barnes, B, Tornyeviadzi, H M, Ackora-Prah, J
Format: Article
Language:English
Subjects:
Flux density
Resonance scattering
Spectral methods
Online Access:Get full text
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Summary:In this paper, we numerically study the scattering of kinks in the noncanonical sine-Gordon model using Fourier spectral methods. The model depends on two free parameters, which control the localized inner structure in the energy density and the characteristics of the scattering potential. It has been conjectured that the kink solutions in the noncanonical model possess inner structures in their energy density, and the presence of these yields bound states and resonance structures for some relative velocities between the kink and the antikink. In the numerical study, we observed that the classical kink mass decreases monotonically as the free parameters vary, and yields bion-formations and long-lived oscillations in the scattering of the kink-antikink system.
ISSN:2331-8422
DOI:10.48550/arxiv.2111.01051