New Lump-like Structures in Scalar-field Models

TL;DR

This paper explores various novel lump-like solutions in scalar-field models, including flat-topped and multi-lump configurations, and discusses their potential applications across different physics domains.

Contribution

It introduces new types of lump-like solutions with diverse profiles and topologies in scalar-field models, expanding the understanding of non-topological localized structures.

Findings

Identified lump solutions with flat plateaus.

Discovered multi-lump configurations.

Proposed potential applications in physics.

Abstract

In this work we investigate lump-like solutions in models described by a single real scalar field. We start considering non-topological solutions with the usual lump-like form, and then we study other models, where the bell-shape profile may have varying amplitude and width, or develop a flat plateau at its top, or even induce a lump on top of another lump. We suggest possible applications where these exotic solutions might be used in several distinct branches of physics.