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Collisions of kinks in deformed φ4 and φ6 models

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  • Moradi Marjaneh, Aliakbar
  • Simas, Fabiano C.
  • Bazeia, D.

Abstract

Two hyperbolic-deformed field theoretic models are discussed. In both of them, due to the effect of specific deformation function on the well known φ4 and φ6 models, their internal structure may change significantly. Unlike the φ4 kinks solutions, which has only one internal mode in addition to its translational mode, the kinks of the hyperbolic-deformed φ4 model can have several internal modes. Moreover, the deformation on the φ6 model has other interesting features, because the kinks of the φ6 model have only a zero mode and the deformation may cause the appearance of internal mode for both kink and antikink. The presence of the new internal modes modify the collisions which we explore in the present work. The deformation relies on a real parameter, which controls the number of internal modes, and we also study how the deformation parameter alter the mass of the kinks and the critical velocities involved in the collisions.

Suggested Citation

  • Moradi Marjaneh, Aliakbar & Simas, Fabiano C. & Bazeia, D., 2022. "Collisions of kinks in deformed φ4 and φ6 models," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    • Handle: RePEc:eee:chsofr:v:164:y:2022:i:c:s096007792200902x
    DOI: 10.1016/j.chaos.2022.112723
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    References listed on IDEAS

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    1. Martin-Vergara, Francisca & Rus, Francisco & Villatoro, Francisco R., 2021. "Fractal structure of the soliton scattering for the graphene superlattice equation," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).
    2. Marzieh Peyravi & Afshin Montakhab & Nematollah Riazi & Abdorrasoul Gharaati, 2009. "Interaction properties of the periodic and step-like solutions of the double-Sine-Gordon equation," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 72(2), pages 269-277, November.
    3. 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.
    4. 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).
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