Dissipative soliton excitability induced by spatial inhomogeneities and drift

TL;DR

This paper demonstrates that dissipative solitons can exhibit excitability due to spatial inhomogeneities and drift, revealing complex oscillatory behaviors even in systems without inherent oscillatory states.

Contribution

It introduces a general theoretical framework showing how inhomogeneities and drift induce excitability in dissipative solitons, expanding understanding of their dynamics.

Findings

Dissipative solitons display oscillations and excitability with inhomogeneities and drift.

The interplay between pinning and pulling explains the observed behaviors.

Results are relevant for semiconductor microresonators and other physical systems.

Abstract

We show that excitability is generic in systems displaying dissipative solitons when spatial inhomogeneities and drift are present. Thus, dissipative solitons in systems which do not have oscillatory states, such as the prototypical Swift-Hohenberg equation, display oscillations and Type I and II excitability when adding inhomogeneities and drift to the system. This rich dynamical behavior arises from the interplay between the pinning to the inhomogeneity and the pulling of the drift. The scenario presented here provides a general theoretical understanding of oscillatory regimes of dissipative solitons reported in semiconductor microresonators. Our results open also the possibility to observe this phenomenon in a wide variety of physical systems.