Group-wave resonances in nonlinear dispersive media: The case of gravity water waves

TL;DR

This paper explores how nonlinear wave groups in gravity water waves generate non-resonant bound waves, leading to complex interactions and emissions that differ significantly from classical weakly nonlinear wave theories.

Contribution

It introduces a new mechanism for wave emission by coherent nonlinear groups, highlighting their ability to produce synchronized and diverse wave patterns in dispersive media.

Findings

Coherent nonlinear wave groups generate non-resonant bound waves.

Wave groups can emit waves of similar or different lengths.

Emissions can propagate in same or opposite directions.

Abstract

The dynamics of coherent nonlinear wave groups is shown to be drastically different from the classical scenario of weakly nonlinear wave interactions. The coherent groups generate non-resonant (bound) waves which can be synchronized with other linear waves. By virtue of the revealed mechanism the groups may emit waves with similar or different lengths, which propagate in the same or opposite direction.