Kink Collision in the Noncanonical $\varphi^{6}$ Model: A Model with Localized Inner Structures
I. Takyi, S. Gyampoh, B. Barnes, J. Ackora-Prah, and G. A. Okyere

TL;DR
This paper investigates kink collisions in a noncanonical $\
Contribution
It introduces the analysis of localized inner structures in energy density and their effects on kink collision dynamics in a noncanonical $\
Findings
Localized inner energy structures emerge depending on potential curvature.
Kink collisions produce oscillons within certain parameter ranges.
Resonance windows influence collision outcomes.
Abstract
We study collisions of kinks in the one-space and one-time dimensional noncanonical nonintegrable scalar model. We examine the energy density of the kink, and we find that, as a function of the parameters that control the curvature of the potential, a localized inner structure of the energy density emerges. We also examine the kink excitation spectrum and the dynamics of the kink collisions for a wide range of initial velocities. We find that apart from the resonance windows, the production of two to three oscillons occurs for some values of the principal parameters of the model.
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Taxonomy
TopicsNonlinear Photonic Systems · Advanced Fiber Laser Technologies · Advanced Fiber Optic Sensors
