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Scattering of kinks in the Bφ4 model

Author

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  • Mohammadi, M.
  • Momeni, E.

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 3.3

Suggested Citation

  • Mohammadi, M. & Momeni, E., 2022. "Scattering of kinks in the Bφ4 model," Chaos, Solitons & Fractals, Elsevier, vol. 165(P2).
    • Handle: RePEc:eee:chsofr:v:165:y:2022:i:p2:s096007792201013x
    DOI: 10.1016/j.chaos.2022.112834
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    References listed on IDEAS

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    4. Aliakbar Moradi Marjaneh & Alidad Askari & Danial Saadatmand & Sergey V. Dmitriev, 2018. "Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 91(1), pages 1-8, January.
    5. Askari, Alidad & Moradi Marjaneh, Aliakbar & Rakhmatullina, Zhanna G. & Ebrahimi-Loushab, Mahdy & Saadatmand, Danial & Gani, Vakhid A. & Kevrekidis, Panayotis G. & Dmitriev, Sergey V., 2020. "Collision of ϕ4 kinks free of the Peierls–Nabarro barrier in the regime of strong discreteness," Chaos, Solitons & Fractals, Elsevier, vol. 138(C).
    6. Martin-Vergara, Francisca & Rus, Francisco & Villatoro, Francisco R., 2022. "Numerical search for the stationary quasi-breather of the graphene superlattice equation," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
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