Nonlinear Dynamics of Solitons for the Vector Modified Korteweg-de Vries Equation

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...

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Veröffentlicht in:Журнал математической физики, анализа, геометрии
Datum:2018
Hauptverfasser: Fenchenko, V., Khruslov, E.
Format: Artikel
Sprache:English
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2018
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/145866
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Nonlinear Dynamics of Solitons for the Vector Modified Korteweg-de Vries Equation / V. Fenchenko, E. Khruslov // Журнал математической физики, анализа, геометрии. — 2018. — Т. 14, № 2. — С. 153-168. — Бібліогр.: 16 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine