Collective coordinate variable for soliton-potential system in sine-Gordon model

Abstract

A Collective coordinate variable for adding a space dependent potential to the sine-Gordon model is presented. Interaction of solitons with a delta function potential barrier and also delta function potential well is investigated. Most of the characters of interaction are derived analytically. We will find that the behaviour of a solitonic solution is like a point particle which is moved under the influence of a complicated effective potential. The effective potential is a function of the field initial conditions and also parameters of added potential.

10 pages, 6 figures

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Cited by in corpus (8)

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• Multi-kink collisions in the ${\varphi }^6$ model
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Scattering of kinks in the $B{\phi }^4$ model
• Scattering of kinks in scalar-field models with higher-order self-interactions