# Dragon-kings death in nonlinear wave interactions

## TL;DR

This paper demonstrates the existence of dragon-king extreme events in nonlinear three-wave interactions and proposes a method to prevent them by introducing a small perturbing wave.

## Contribution

It reveals the presence of dragon-king events in nonlinear wave systems and shows how small perturbations can prevent these catastrophic events.

## Key findings

- Dragon-king events are linked to phase transitions and tipping points.
- Adding a small wave can prevent extreme events.
- The study enhances understanding of controlling nonlinear wave phenomena.

## Abstract

Extreme events are characterised by low probabilities and high impact on the systems. As a consequence, it is possible to find many studies about the predictability and suppression of extreme events. In this work, we show the existence of dragon-kings extreme events in nonlinear three-wave interactions. Dragon-king extreme events, identified by phase transitions, tipping points, and catastrophes, affects fluctuating systems. We show that these events can be avoided by adding a perturbing small amplitude wave to the system.