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Dynamics of Multi-kinks in the Presence of Wells and Barriers

Goatham, S.W., Mannering, L.E., Hann, R., Krusch, Steffen (2011) Dynamics of Multi-kinks in the Presence of Wells and Barriers. Acta Physica Polonica B, 42 (10). pp. 2087-2106. ISSN 0587-4254. (doi:10.5506/APhysPolB.42.2087) (KAR id:28510)


Sine-Gordon kinks are non-dispersive solutions in a much studied integrable system. Recent studies on sine-Gordon kinks with space-dependent square-well-type potentials have revealed interesting dynamics of a single kink interacting with wells and barriers. In this paper, we study a class of smooth space-dependent potentials and discuss the dynamics of one kink in the presence of different wells. We also present values for the critical velocity for different types of barriers. Furthermore, we study two kinks interacting with various wells and describe interesting trajectories such as double-trapping, kink knock-out and double-escape.

Item Type: Article
DOI/Identification number: 10.5506/APhysPolB.42.2087
Subjects: Q Science > QA Mathematics (inc Computing science)
Q Science > QC Physics > QC20 Mathematical Physics
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Funders: Engineering and Physical Sciences Research Council (
Depositing User: Steffen Krusch
Date Deposited: 30 Nov 2011 16:26 UTC
Last Modified: 12 Jul 2022 10:40 UTC
Resource URI: (The current URI for this page, for reference purposes)

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