Solitons in polymeric chains with periodic interactions

TL;DR

This paper explores soliton solutions in polymeric chains with periodic interactions, including an application to DNA modeled as coupled scalar fields, advancing understanding of topological solitons in biological and synthetic polymers.

Contribution

It introduces explicit soliton solutions in systems of two coupled scalar fields with periodic potentials, applying the framework to DNA as a polymeric chain.

Findings

Explicit soliton solutions for coupled scalar fields with periodic interactions

Application of the model to DNA as a polymeric chain

Analysis of topological sectors and energy of solitons

Abstract

In this paper we follow the lines of recent works to investigate systems of two coupled real scalar fields defined by potentials that describe periodic interactions between the scalar fields. We work with polymeric chains containing periodic interactions between the coupled fields, and we investigate the topological sectors to obtain explicit soliton solutions and their corresponding energy. In particular, we offer an example that considers deoxyribonucleic acid (DNA) as a system of coupled fields, and we present the main steps to describe DNA as a polymeric chain belonging to the class of systems of two coupled real scalar fields.