Soliton-potential interaction in the nonlinear Klein-Gordon model

TL;DR

This paper investigates how solitons interact with external potentials in nonlinear Klein-Gordon theory using an improved model that better incorporates potential effects via spacetime metric adjustments.

Contribution

Introduces a novel model for soliton-potential interaction in Klein-Gordon theory with improved approximation methods.

Findings

Model shows better agreement with expected physical behavior.

Differences between the new and previous models are analyzed.

Enhanced understanding of soliton dynamics in external potentials.

Abstract

The interaction of solitons with external potentials in nonlinear Klein-Gordon field theory is investigated using an improved model. The presented model has been constructed with a better approximation for adding the potential to the Lagrangian through the metric of background space-time. The results of the model are compared with another model and the differences are discussed.