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Resonant interaction of phi(4) kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F62690094%3A18470%2F18%3A50014841" target="_blank" >RIV/62690094:18470/18:50014841 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.cnsns.2017.07.019" target="_blank" >http://dx.doi.org/10.1016/j.cnsns.2017.07.019</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.cnsns.2017.07.019" target="_blank" >10.1016/j.cnsns.2017.07.019</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Resonant interaction of phi(4) kink with PT-symmetric perturbation with spatially periodic gain/loss coefficient

  • Original language description

    The resonant interaction of the phi(4) kink with a PT-symmetric perturbation is observed in the numerical study performed in the frame of the continuum model and with the help of a two degree of freedom collective variable model derived in PRA 89, 010102(R). The perturbation is in the form of first partial derivative in time term with a spatially periodic gain/loss coefficient. When the kink interacts with the perturbation, the kink&apos;s internal mode is excited with the amplitude varying in time quasiperiodically. The maximal value of the amplitude was found to grow when the kink velocity is such that it travels one period of the gain/loss prefactor in nearly one period of the kink&apos;s internal mode. It is also found that the kink&apos;s translational and vibrational modes are coupled in a way that an increase in the kink&apos;s internal mode amplitude results in a decrease in kink velocity. The results obtained with the collective variable method are in a good qualitative agreement with the numerical simulations for the continuum model. The results of the present study suggest that kink dynamics in open systems with balanced gain and loss can have new features in comparison with the case of conservative systems. (C) 2017 Elsevier B.V. All rights reserved.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10303 - Particles and field physics

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2018

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Communications in nonlinear science and numerical simulation

  • ISSN

    1007-5704

  • e-ISSN

  • Volume of the periodical

    56

  • Issue of the periodical within the volume

    MAR

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    15

  • Pages from-to

    62-76

  • UT code for WoS article

    000412682700005

  • EID of the result in the Scopus database