Formation and interaction of two-kink solitons

Abstract

Two-kink soliton solutions have received attention due to its implications in string theory and particles physics. In the present work we analyze the necessary conditions for the appearance of two-kink solitons in the sine-Gordon model under the perturbation of a space-dependant force. Interactions of two-kink solitons are also investigated. We show that kink repulsive force eventually leads to a fragmentation of the solution before interaction and finally to dissolution of these bound states.