Peakons arising as particle paths beneath small-amplitude water waves

TL;DR

This paper introduces a novel particle path phenomenon called peakons in small-amplitude water waves with constant vorticity and finite depth, expanding understanding of wave-particle interactions.

Contribution

It presents the discovery of peakon-shaped particle paths in a new water wave context with constant vorticity and finite depth, a previously unreported behavior.

Findings

Identification of peakon particle paths in the specified water wave setting

Extension of wave-particle interaction models to include peakon phenomena

New insights into particle trajectories under small-amplitude waves with vorticity

Abstract

We present a new kind of particle path in constant vorticity water of finite depth, within the framework of small-amplitude waves.