Interaction of solitons for sine-gordon-type equations

Georgii A. Omel'yanov*, Israel Segundo-Caballero

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


The subject of our consideration is a family of semilinear wave equations with a small parameter and nonlinearities which provide the existence of kink-type solutions (solitons). Using asymptotic analysis and numerical simulation, we demonstrate that solitons of the same type (kinks or antikinks) interact in the same manner as for the sine-Gordon equation. However, solitons of the different type preserve the shape after the interaction only in the case of two or three waves, and, moreover, under some additional conditions.

Original languageEnglish
Article number845926
JournalJournal of Mathematics
StatePublished - 2013

Bibliographical note

Publisher Copyright:
© 2013 Georgii A. Omel'yanov and Israel Segundo-Caballero.


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