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Problemy Fiziki, Matematiki i Tekhniki (Problems of Physics, Mathematics and Technics), 2021, Issue 4(49), Pages 7–10
DOI: https://doi.org/10.54341/20778708_2021_4_49_7
(Mi pfmt802)
 

PHYSICS

Kink for modificated regularized long-wave equation

M. A. Knyazev

Belarusian National Technical University, Minsk
References:
Abstract: A new version of the modified regularized long-wave equation is considered. The equations of such a type are used as an alternative to the Korteweg-de Vries equation. A modification of the equation consists in an accounting the term which describes an interaction of dispersion and dissipation. Using the direct Hirota method for nonlinear equations in partial derivatives a kink-type (antikink-type) solution for modified equation is constructed. A possibility to construct a coupled solution of kink and antikink is analysed.
Keywords: regularized long-wave equation, kink, anti-kink, Hirota direct method.
Received: 05.04.2021
Document Type: Article
UDC: 530.182
Language: Russian
Citation: M. A. Knyazev, “Kink for modificated regularized long-wave equation”, PFMT, 2021, no. 4(49), 7–10
Citation in format AMSBIB
\Bibitem{Kny21}
\by M.~A.~Knyazev
\paper Kink for modificated regularized long-wave equation
\jour PFMT
\yr 2021
\issue 4(49)
\pages 7--10
\mathnet{http://mi.mathnet.ru/pfmt802}
\crossref{https://doi.org/10.54341/20778708_2021_4_49_7}
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