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arXiv · 0910.3058

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

Kurosh Javidan
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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.

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Kurosh Javidan. 2009-10-16. Collective coordinate variable for soliton-potential system in sine-Gordon model. https://doi.org/10.1063/1.3511337

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