Scattering of kinks in the Bφ4 model

M. Mohammadi and E. Momeni

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: In this study, based on the φ4 model, a new model (called the Bφ4 model) is introduced in which the potential form for the values of the field whose magnitudes are greater than 1 is multiplied by the positive number B. All features related to a single kink (antikink) solution remain unchanged and are independent of parameter B. However, when a kink interacts with an antikink in a collision, the results will significantly depend on parameter B. Hence, for kink–antikink collisions, many features such as the critical speed, output velocities for a fixed initial speed, two-bounce escape windows, extreme values, and fractal structure in terms of parameter B are considered in detail numerically. The role of parameter B in the emergence of a nearly soliton behavior in kink–antikink collisions at some initial speed intervals is clearly confirmed. The fractal structure in the diagrams of escape windows is seen for the regime B≤1. However, for the regime B>1, this behavior gradually becomes fuzzing and chaotic as it approaches B=3.3. The case B=3.3 is obtained again as the minimum of the critical speed curve as a function of B. For the regime 3.3Keywords: Soliton; Kink scattering; Resonance phenomena; Topological defect; Fractal (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s096007792201013x

DOI: 10.1016/j.chaos.2022.112834

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