Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation

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We investigated numerically the dynamics of kinks of modified sine-Gordon equation in the model with localized spatial modulation of a periodic potential (or impurity). We considered the case of two identical impurities. We showed the possibility of collective effects of the influence of impurities, which are heavily dependent on the distance between them. We demonstrated the existence of a certain critical value of the distance between impurities, which has two qualitatively different scenarios of the dynamic behavior of kink.

Keywords: kink, breather, sine-Gordon equation, quasitunneling
Citation in English: Ekomasov E.G., Gumerov A.M. Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation // Computer Research and Modeling, 2013, vol. 5, no. 3, pp. 403-412
Citation in English: Ekomasov E.G., Gumerov A.M. Collective influence of impurities on the dynamics of kinks of modified sine-Gordon equation // Computer Research and Modeling, 2013, vol. 5, no. 3, pp. 403-412
DOI: 10.20537/2076-7633-2013-5-3-403-412
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