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

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Abstract

Interaction of asymmetric \(\phi ^6\) kinks with a spatially localized \({\mathcal{PT}\mathcal{}}\)-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.

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Data availability statement

The datasets generated during and analyzed during the current study are available from the authors on reasonable request.

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Acknowledgements

For A.M.M., this work is supported by Islamic Azad University Quchan branch under a grant. D.S. would like to thank B. Malomed for useful discussions. The work of D.S. is based upon research supported by the National Institute for Theoretical and Computational Sciences (NITheCS), Stellenbosch, South Africa.

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Authors and Affiliations

  1. Department of Physics, University of Sistan and Baluchestan, Zahedan, Iran

    Danial Saadatmand

  2. Institute for Theoretical Physics, Physics Department, Stellenbosch University, Matieland, 7602, South Africa

    Danial Saadatmand

  3. National Institute for Theoretical and Computational Sciences (NITheCS), Stellenbosch, 7602, South Africa

    Danial Saadatmand

  4. Young Researchers and Elite Club, Quchan Branch, Islamic Azad University, Quchan, Iran

    Aliakbar Moradi Marjaneh

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All stages of the article—including designing the study, performing the analytical calculations and numerical simulations, providing the results in 2D and 3D plots, and editing and production of the final form of the paper—have been carried out with the equal participation of the authors.

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Saadatmand, D., Marjaneh, A.M. Scattering of the asymmetric \(\phi ^6\) kinks from a \({\mathcal{PT}\mathcal{}}\)-symmetric perturbation: creating multiple kink–antikink pairs from phonons. Eur. Phys. J. B 95, 144 (2022). https://doi.org/10.1140/epjb/s10051-022-00405-x

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