New family of sine-Gordon models

TL;DR

This paper introduces a new family of sine-Gordon models derived through a deformation procedure, providing explicit solutions and analyzing their key features, expanding the understanding of these nonlinear field theories.

Contribution

It presents a novel deformation method to generate a family of sine-Gordon models, including the double and triple variants, with explicit solutions and properties.

Findings

Explicit solutions for the new models are obtained.

The deformation procedure successfully generates a family of related models.

Key features and properties of the models are analyzed.

Abstract

This work deals with a new family of models, which includes the sine-Gordon model and the double-sine-Gordon, triple-sine-Gordon and so on. The investigation is based on a deformation procedure, which is used to deform a well-known model, to get to the family of sine-Gordon models. Due to properties of the procedure, we get to the models and find the corresponding solutions explicitly, together with all the important features they engender.