Geometrically constrained localized configurations engendering non-topological profile

TL;DR

This paper explores non-topological localized solutions in a two-scalar field model with geometric constraints, demonstrating how to modify their structure and energy density, relevant for high energy physics and applications like solitons.

Contribution

It introduces a method to generate and control non-topological localized configurations with adjustable internal structures using geometric constrictions.

Findings

Able to produce thinner, thicker, and multi-lump solutions

Modified energy densities and internal structures of solutions

Potential applications in optical fibers and Bose-Einstein condensates

Abstract

This work deals with two real scalar fields in two-dimensional spacetime, with the fields coupled to allow the study of localized configurations. We consider models constructed to engender geometric constrictions, and use them to investigate solutions of the lump type, which attain no topological properties. We show how to modify the internal structure of the field configurations and the corresponding energy densities in several distinct ways, making them thinner, thicker and also, in the form of a multi-lump solution composed of two or more lumps or asymmetrically distributed around their associated centers. The results appear to be of current interest in high energy physics and may, in particular, be used to study bright solitons in optical fibers and in Bose-Einstein condensates.