Kink manifolds in a three-component scalar field theory
A. Alonso Izquierdo, J.C. Bueno Sanchez, M.A. Gonzalez Leon, M. de la, Torre Mayado
TL;DR
This paper explores the complex landscape of solitary wave solutions in a three-component scalar field model, revealing a variety of topological and non-topological kinks through energy functional analysis.
Contribution
It introduces the identification of kink manifolds in a three-component scalar field theory using the Bogomol'nyi method, highlighting the rich structure of solutions.
Findings
Existence of diverse topological and non-topological kinks.
Identification of the manifold of solitary waves.
Application of Bogomol'nyi arrangement to analyze solutions.
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.
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