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Scattering of the asymmetric $$\phi ^6$$ ϕ 6 kinks from a $${\mathcal{PT}\mathcal{}}$$ PT -symmetric perturbation: creating multiple kink–antikink pairs from phonons

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  • Danial Saadatmand

    (University of Sistan and Baluchestan
    Stellenbosch University
    National Institute for Theoretical and Computational Sciences (NITheCS))

  • Aliakbar Moradi Marjaneh

    (Islamic Azad University)

Abstract

Interaction of asymmetric $$\phi ^6$$ ϕ 6 kinks with a spatially localized $${\mathcal{PT}\mathcal{}}$$ PT -symmetric perturbation is investigated numerically. It is shown that when the kink (antikink) hits the defect from the gain side, a final velocity of the kink decreases (increases), while for the kink and antikink coming from the opposite direction, their final velocities remain unchanged. It is also found that when the kink interacts with the defect from the gain side, multiple pairs of the kink–antikink are formed from small-amplitude waves (phonons) in the final states depending on the initial velocity of the initial kink and parameter of the perturbation. Graphical Abstract

Suggested Citation

  • Danial Saadatmand & Aliakbar Moradi Marjaneh, 2022. "Scattering of the asymmetric $$\phi ^6$$ ϕ 6 kinks from a $${\mathcal{PT}\mathcal{}}$$ PT -symmetric perturbation: creating multiple kink–antikink pairs from phonons," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-13, September.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00405-x
    DOI: 10.1140/epjb/s10051-022-00405-x
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