Orbit based procedure for doublets of scalar fields and the emergence of triple kinks and other defects

TL;DR

This paper introduces a method to expand the set of exactly solvable two-scalar-field models in (1+1)D, leading to new solutions including triple-kinks and double-flat-top lumps.

Contribution

The work develops a novel approach to generate new exactly solvable two-field models with complex defect solutions, such as triple-kinks.

Findings

Constructed new two-field models with exact solutions.

Discovered models exhibiting triple-kinks and flat-top lumps.

Provided both analytical and numerical solutions for the models.

Abstract

In this work we offer an approach to enlarge the number of exactly solvable models with two real scalar fields in (1+1)D. We build some new two-field models, and obtain their exact orbits and exact or numerical field configurations. It is noteworthy that a model presenting triple-kinks and double-flat-top lumps is among those new models.