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Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation

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Abstract

Multisoliton solutions of the modified Korteweg de Vries–sine-Gordon equation involving coefficients with local perturbations in the coordinate are considered. Cases describing the bifurcation regimes of reflection and capture of solitons (kinks and breathers) in their interaction with dislocations of various Gaussian forms are numerically studied.

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Authors and Affiliations

  1. Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119333, Russia

    S. P. Popov

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  1. S. P. Popov
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Original Russian Text © S.P. Popov, 2015, published in Zhurnal Vychislitel’noi Matematiki i Matematicheskoi Fiziki, 2015, Vol. 55, No. 12, pp. 2055–2066.

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Popov, S.P. Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation. Comput. Math. and Math. Phys. 55, 2014–2024 (2015). https://doi.org/10.1134/S0965542515120143

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  • DOI: https://doi.org/10.1134/S0965542515120143

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