Experiments on wind-perturbed rogue wave hydrodynamics using the Peregrine breather model

Abstract

Being considered as a prototype for description of oceanic rogue waves (RWs), the Peregrine breather solution of the nonlinear Schrödinger equation (NLS) has been recently observed and intensely investigated experimentally in particular within the context of water waves. Here, we report the experimental results showing the evolution of the Peregrine solution in the presence of wind forcing in the direction of wave propagation. The results show the persistence of the breather evolution dynamics even in the presence of strong wind and chaotic wave field generated by it. Furthermore, we have shown that characteristic spectrum of the Peregrine breather persists even at the highest values of the generated wind velocities thus making it a viable characteristic for prediction of rogue waves.

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References in corpus (3)

• A nonlinear Schrödinger equation for water waves on finite depth with constant vorticity
• Approximate rogue wave solutions of the forced and damped Nonlinear Schrödinger equation for water waves
• Modulational instability, wave breaking and formation of large scale dipoles in the atmosphere

Cited by in corpus (8)

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• Dynamics of Higher-order Bright and Dark Rogue Waves in a New (2+1)-Dimensional Integrable Boussinesq Model
• Initial Wave Breaking Dynamics of Peregrine-Type Rogue Waves: A Numerical and Experimental Study
• Wave amplification in the framework of forced nonlinear Schrodinger equation: the rogue wave context
• Modulational instability in wind-forced waves
• Spectral up- and downshifting of Akhmediev breathers under wind forcing
• Bound-state soliton gas as a limit of adiabatically growing integrable turbulence
• The linearly damped nonlinear Schrödinger equation with localized driving: spatiotemporal decay estimates and the emergence of extreme wave events