Topological Compactons

TL;DR

This paper introduces a new type of one-dimensional topological kink that is strictly finite in size, lacking exponential or power-law tails, demonstrated through a simple mechanical system similar to those used for sinus-Gordon solitons.

Contribution

It presents a novel topological kink solution with finite size and no tails, expanding the understanding of topological solitons in mechanical systems.

Findings

Finite size topological kink demonstrated in a mechanical system.

Absence of exponential or power-like tails in the kink.

Potential implications for soliton theory and applications.

Abstract

One dimensional topological kink which has strictly finite size without any exponential or power-like tail is presented. It can be observed in a simple mechanical system akin to the one used in order to demonstrate sinus-Gordon solitons.