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Structure and properties of four-kink multisolitons of the sine-Gordon equation

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Abstract

The dynamics of nonlinear waves of the sine-Gordon equation with a spatially modulated periodic potential are studied using analytical and numerical methods. The structure and properties of four-kink multisolitons excited on two identical attracting impurities are determined. For small-amplitude oscillations, an analytical spectrum of the oscillations is obtained, which is in qualitatively agreement with the numerical results.

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Authors and Affiliations

  1. Bashkir State University, ul. Zaki Validi 32, Ufa, 450076, Bashkortostan, Russia

    A. M. Gumerov, E. G. Ekomasov, F. K. Zakir’yanov & R. V. Kudryavtsev

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  1. A. M. Gumerov
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  2. E. G. Ekomasov
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  3. F. K. Zakir’yanov
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  4. R. V. Kudryavtsev
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Correspondence to A. M. Gumerov.

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Original Russian Text © A.M. Gumerov, E.G. Ekomasov, F.K. Zakir’yanov, R.V. Kudryavtsev, 2014, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2014, Vol. 54, No. 3, pp. 481–495.

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Gumerov, A.M., Ekomasov, E.G., Zakir’yanov, F.K. et al. Structure and properties of four-kink multisolitons of the sine-Gordon equation. Comput. Math. and Math. Phys. 54, 491–504 (2014). https://doi.org/10.1134/S0965542514030075

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