Classical behavior of deformed sine-Gordon models

TL;DR

This paper introduces deformed sine-Gordon models derived from phi^4 deformations, exploring their topological solutions, including exotic two-kink configurations supported by novel non-polynomial potentials.

Contribution

It presents a new class of sine-Gordon-like models through deformation of phi^4, revealing diverse topological solutions and exotic two-kink states.

Findings

All topological solutions for the proposed models are obtained.

Non-polynomial potentials support exotic two-kink solutions.

Diverse sine-Gordon-like models are constructed via deformation methods.

Abstract

In this work we deform the phi^4 model with distinct deformation functions, to propose a diversity of sine-Gordon-like models. We investigate the proposed models and we obtain all the topological solutions they engender. In particular, we introduce non-polynomial potentials which support some exotic two-kink solutions.