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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2015 Volume 55, Number 12, Pages 2055–2066 (Mi zvmmf10315)

This article is cited in 10 papers

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

S. P. Popov

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

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.

Key words: mKdV equation, SG equation, mKdV–SG equation, nonautonomous mKdV–SG equation, kink, antikink, breather, soliton, multisoliton interaction.

UDC: 519.634

Received: 10.02.2015
Revised: 05.05.2015

DOI: 10.7868/S0044466915120157


 English version:
Computational Mathematics and Mathematical Physics, 2015, 55:12, 2014–2024

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