Multi-sine-Gordon Models

TL;DR

This paper explores generalized sine-Gordon models with multiple topological sectors, using a deformation method to analyze defect structures in models with complex periodic potentials.

Contribution

It introduces new multi-sine-Gordon models with varied topological sectors and applies a deformation procedure to study their defect structures.

Findings

Identification of models with multiple topological sectors

Application of deformation method to analyze defect structures

Characterization of defect configurations in generalized sine-Gordon models

Abstract

This work deals with the presence of defect structures in generalized sine-Gordon models. The models are described by periodic potentials, with substructure having one, two, three or more distinct topological sectors, with multiplicity one, two, three or more, respectively. The investigation takes advantage of the deformation procedure introduced in previous work, which is used to introduce the new models, and to study all the defect structures they may comprise.