Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering
Alexey Tikan, Félicien Bonnefoy, Giacomo Roberti, G. A. Él, Alexander Tovbis, Guillaume Ducrozet, Annette Cazaubiel, Gaurav Prabhudesai, Guillaume Michel, François Copie, Éric Falcon, Stéphane Randoux, Pierre Suret
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.
Topics & Concepts
Rogue waveSolitonWave packetNonlinear systemPosition (finance)Inverse scattering problemWork (physics)Point (geometry)PhysicsWave tankComputer scienceClassical mechanicsScatteringMechanicsMathematicsOpticsQuantum mechanicsGeometryEconomicsFinanceNonlinear Waves and SolitonsAdvanced Fiber Laser TechnologiesNonlinear Photonic Systems