Kink manifolds in a three-component scalar field theory

Abstract

In this work we identify the manifold of solitary waves arising in a three-component scalar field model using the Bogomol'nyi arrangement of the energy functional. A rich structure of topological and non-topological kinks exists in the different sub-models contained in the theory.

23 pages, 13 figures

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• Composite solitary waves in three-component scalar field theory: II. Three-body low-energy scattering
• Geometrically constrained multifield models with BNRT solutions
• Kinks in massive non-linear ${\mathbb{S}}^1\times {\mathbb{S}}^1$-Sigma models
• One-dimensional solitary waves in singular deformations of SO(2) invariant two-component scalar field theory models
• BPS and semi-BPS kink families in two-component scalar field theories with fourth-degree polynomial potentials