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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
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
Аннотация:
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.
Ключевые слова и фразы:
vector mKdV, inverse scattering transform, soliton, collision.
Поступила в редакцию: 14.06.2017 Исправленный вариант: 06.09.2017
Образец цитирования:
V. Fenchenko, E. Khruslov, “Nonlinear dynamics of solitons for the vector modified Korteweg–de Vries equation”, Журн. матем. физ., анал., геом., 14:2 (2018), 153–168
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jmag695 https://www.mathnet.ru/rus/jmag/v14/i2/p153
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