Geodesic
Kink for modificated regularized long-wave equation
Problemy fiziki, matematiki i tehniki, no. 4 (2021), pp. 7-10

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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. 
@article{PFMT_2021_4_a0,
     author = {M. A. Knyazev},
     title = {Kink for modificated regularized long-wave equation},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {7--10},
     publisher = {mathdoc},
     number = {4},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2021_4_a0/}
}
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M. A. Knyazev. Kink for modificated regularized long-wave equation. Problemy fiziki, matematiki i tehniki, no. 4 (2021), pp. 7-10. http://geodesic.mathdoc.fr/item/PFMT_2021_4_a0/