Defects composed of kinks and Q-balls: analytical solutions and stability

Abstract

In this paper all the defect-type solutions in a family of scalar field theories with a real and a complex field in (1+1) dimensional Minkowski spacetime have been analytically identified. Three types of solutions have been found: (a) topological kinks without the presence of $Q$-balls, (b) defects which consist of a topological kink coupled with a $Q$-ball and (c) a one-parameter family of solutions where a $Q$-ball is combined with a non-topological soliton. The properties of these solutions and its linear stability are also discussed.

arXiv comment10 pages, 5 figures

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Cited by in corpus (3)

• Non-topological solitons and quasi-solitons
• CFT-approach to Rotating Field Lumps in Attractive Potential
• Geometric Construction of non-linear Sigma models with Q-ball/Q-kink solutions