Characteristics of Z(2) multi-kink soliton configurations

Abstract

In this article, we first briefly review the solution of Z(2) kink solitons. Then we construct some multi-kink soliton configurations which are static and show their few features which are actually important to characterize their stability conditions. Not only that this show also the particle characteristics of these kink configurations in these solitonic configurations. Then we will talk about dynamical kinks and show the affect of dynamics in the expression of force exerted by the neighbouring kink and anti-kink on each other in the multi-kink configurations. We have also defined an algebra through which we can write down equivalent ways of writing down multi-kink configuration mathematically.