Formation of a two-kink soliton pair in perturbed sine-Gordon models due to kink-internal-mode instabilities

Mónica A. García-Ñustes, Jorge A. González

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Abstract

The existence of two-kink soliton solutions in polynomial potentials was first reported by Bazeia in a special type of scalar field systems. A general feature of these potentials is that they possess two minima and a local metastable minimum between them. In the present work we investigate the appearance of this special kind of soliton in the sine-Gordon model under the perturbation of a space-dependent force. We show that a pair of solitons is emitted during the process of kink breakup by internal mode instabilities. A possible explanation of these phenomena is an interplay between the solitons repelling interaction and the external force, resulting in a separation or a packing of several kinks.

Original languageEnglish
Article number066602
JournalPhysical Review E
Volume86
Issue number6
DOIs
StatePublished - 14 Dec 2012
Externally publishedYes

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