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This article is cited in 8 scientific papers (total in 8 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.
Received: 10.02.2015 Revised: 05.05.2015
Citation:
S. P. Popov, “Scattering of solitons by dislocations in the modified Korteweg de Vries–sine-Gordon equation”, Zh. Vychisl. Mat. Mat. Fiz., 55:12 (2015), 2055–2066; Comput. Math. Math. Phys., 55:12 (2015), 2014–2024
Linking options:
https://www.mathnet.ru/eng/zvmmf10315 https://www.mathnet.ru/eng/zvmmf/v55/i12/p2055
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Abstract page: | 247 | Full-text PDF : | 66 | References: | 84 | First page: | 6 |
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