Rogue waves emerging from the resonant interaction of three waves

TL;DR

This paper introduces new analytic solutions to three-wave interaction equations, aiding the understanding and prediction of rogue waves across various physical systems.

Contribution

It presents a novel family of solutions modeling isolated amplitude peaks, advancing the theoretical framework for rogue wave phenomena in multi-component wave dynamics.

Findings

Solutions model rogue wave peaks in space and time

Applicable across oceanography, optics, plasma physics, acoustics

Provides a foundation for future forecasting methods

Abstract

We introduce a novel family of analytic solutions of the three-wave resonant interaction equations to the purpose of modeling unique events, i.e. "amplitude peaks" which are isolated in space and time. The description of these solutions is likely to be a crucial step in the understanding and forecasting of rogue-waves in a variety of multi-component wave dynamics, from oceanography to optics, from plasma physics to acoustics.