Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering

Abstract

In this work, we realize the mathematically predicted universal mechanism of the local emergence of Peregrine solitons in water tank experiments, with a particular aim to control the point of the soliton occurrence in space-time by employing the inverse scattering transform for the synthesis of the initial data. Using this approach, we are able to engineer a localized wave packet with a prescribed solitonic and radiative content, evolving in a rogue wave at a predicted position from the wave maker.