Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry]
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Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry], 2018, Volume 14, Number 2, Pages 153–168
DOI: https://doi.org/10.15407/mag14.02.153 (Mi jmag695) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear dynamics of solitons for the vector modified Korteweg–de Vries equation

V. Fenchenko, E. Khruslov

B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, 47 Nauky Ave., Kharkiv, 61103, Ukraine
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DOI: https://doi.org/10.15407/mag14.02.153
Abstract: The vector generalization of the modified Korteweg–de Vries equation is considered and the inverse scattering transform for solving this equation is developed. The solitons and the breather solutions are constructed and the processes of their interactions are studied. It is shown that along with one-component soliton solutions, there are three-component solutions which have essentially a three-component structure.
Key words and phrases: vector mKdV, inverse scattering transform, soliton, collision.
Received: 14.06.2017
Revised: 06.09.2017
Document Type: Article
MSC: 35Q51
Language: English
Citation: V. Fenchenko, E. Khruslov, “Nonlinear dynamics of solitons for the vector modified Korteweg–de Vries equation”, Zh. Mat. Fiz. Anal. Geom., 14:2 (2018), 153–168
Citation in format AMSBIB
\Bibitem{FenKhr18}
\by V.~Fenchenko, E.~Khruslov
\paper Nonlinear dynamics of solitons for the vector modified Korteweg--de Vries equation
\jour Zh. Mat. Fiz. Anal. Geom.
\yr 2018
\vol 14
\issue 2
\pages 153--168
\mathnet{http://mi.mathnet.ru/jmag695}
\crossref{https://doi.org/10.15407/mag14.02.153}
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