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PHYSICS
Kink for modificated regularized long-wave equation
M. A. Knyazev Belarusian National Technical University, Minsk
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
Citation:
M. A. Knyazev, “Kink for modificated regularized long-wave equation”, PFMT, 2021, no. 4(49), 7–10
Linking options:
https://www.mathnet.ru/eng/pfmt802 https://www.mathnet.ru/eng/pfmt/y2021/i4/p7
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