Abstract
In this paper, we report the dispersive topological solitons that are governed by the dispersive sine-Gordon equation and it's type that is also known as Boussinesq-sine-Gordon equation. The -expansion method and the exp-function method are adopted as the necessary tools to carry out the integration. Finally, the ansatz method is utilized to integrate the perturbed dispersive double sine-Gordon equation. The parameter domain restrictions naturally fall out during the process of these soliton solutions retrieval.