Formation and interaction of two-kink solitons

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Abstract

Two-kink soliton solutions have received attention due to its implications in string theory and particles physics. In the present work we analyze the necessary conditions for the appearance of two-kink solitons in the sine-Gordon model under the perturbation of a space-dependant force. Interactions of two-kink solitons are also investigated. We show that kink repulsive force eventually leads to a fragmentation of the solution before interaction and finally to dissolution of these bound states.

Original languageEnglish
Title of host publicationNonlinear Dynamics
Subtitle of host publicationMaterials, Theory and Experiments - Selected Lectures, 3rd Dynamics Days South America, 2014
EditorsMarcel G. Clerc, Mustapha Tlidi
PublisherSpringer Science and Business Media, LLC
Pages317-327
Number of pages11
ISBN (Print)9783319248691
DOIs
StatePublished - 1 Jan 2016
Event3rd Dynamics Days South America Conference, 2014 - Valparaiso, Chile
Duration: 3 Nov 20147 Nov 2014

Publication series

NameSpringer Proceedings in Physics
Volume173
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941

Conference

Conference3rd Dynamics Days South America Conference, 2014
CountryChile
CityValparaiso
Period3/11/147/11/14

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