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.
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