New soluble nonlinear models for scalar fields

TL;DR

This paper introduces new soluble nonlinear scalar field models, including those with dimension bubbles and topological solutions, expanding the toolkit for studying complex field configurations.

Contribution

It extends a deformation method to generate models with dimension bubbles and topological solutions, advancing the understanding of nonlinear scalar fields.

Findings

Models with dimension bubbles are constructed.

Deformation techniques produce topological solutions from lumplike models.

New soluble nonlinear problems for kinks and lumps are presented.

Abstract

We extend a deformation prescription recently introduced and present some new soluble nonlinear problems for kinks and lumps. In particular, we show how to generate models which present the basic ingredients needed to give rise to "dimension bubbles," having different macroscopic space dimensions on the interior and the exterior of the bubble surface. Also, we show how to deform a model possessing lumplike solutions, relevant to the discussion of tachyonic excitations, to get a new one having topological solutions.