New results for deformed defects

TL;DR

This paper extends a deformation method to generate new solvable nonlinear models with kink and lump solutions, including models that can produce dimension bubbles and transition between lump and kink solutions.

Contribution

It introduces an extended deformation prescription to create new models with specific soliton solutions, including dimension bubbles and deforming lump solutions into kink solutions.

Findings

Developed new solvable models with kink and lump solutions.

Generated models capable of producing dimension bubbles.

Deformed lump solutions into kink solutions.

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. Also, we show how to deform models which possess lumplike solutions, to get to new models that support kinklike solutions.