Journal of Mathematical Physics, ( ISI ), Volume (51), No (11), Year (2010-11) , Pages (112902-112909)

Title : ( Collective coordinate variable for soliton-potential system in sine-Gordon model )

Authors: 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 a delta function potential well is investigated. A majority of the interactive characters are derived analytically.We find that the behavior of a solitonic solution is similar to a point particle which is moved under the influence of a complicated effective potential. The effective potential is a function of the initial field conditions and parameters of added potential.

Keywords

, collective coordinate, sine-Gordon model, soliton