Hydrodynamic Supercontinuum

Abstract

We demonstrate experimentally multi-bound-soliton solutions of the Nonlinear Schrödinger equation (NLS) in the context of surface gravity waves. In particular, the Satsuma-Yajima N-soliton solution with N=2,3,4 is investigated in detail. Such solutions, also known as breathers on zero background, lead to periodic self-focussing in the wave group dynamics, and the consequent generation of a steep localized carrier wave underneath the group envelope. Our experimental results are compared with predictions from the NLS for low steepness initial conditions where wave-breaking does not occur, with very good agreement. We also show the first detailed experimental study of irreversible massive spectral broadening of the water wave spectrum, which we refer to by analogy with optics as the first controlled observation of hydrodynamic supercontinuum a process which is shown to be associated with the fission of the initial multi-soliton bound state into individual fundamental solitons similar to what has been observe in optics.

Cited by in corpus (27)

• Instabilities, breathers and rogue waves in optics
• Rogue waves and analogies in optics and oceanography
• Optical Rogue Waves in integrable turbulence
• Universal Peregrine soliton structure in nonlinear pulse compression in optical fiber
• Rayleigh-Jeans condensation of classical light : Observation and thermodynamic characterization
• Resonant radiation shed by dispersive shock waves
• Tracking breather dynamics in irregular sea state conditions
• Theoretical and experimental evidence of non-symmetric doubly localized rogue waves
• Nonlinear random optical waves: integrable turbulence, rogue waves and intermittency
• Multicomponent long-wave--short-wave resonance interaction system: Bright solitons, energy-sharing collisions, and resonant solitons
• 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
• Non-degenerate Kuznetsov-Ma solitons of Manakov equations and their physical spectra
• Growth rate of modulation instability driven by superregular breathers
• From modulational instability to focusing dam breaks in water waves
• Spectral up- and downshifting of Akhmediev breathers under wind forcing
• Nonlinear stage of Benjamin-Feir instability in forced/damped deep water waves
• Prediction and manipulation of hydrodynamic rogue waves via nonlinear spectral engineering
• Time-Reversal of Nonlinear Waves - Applicability and Limitations
• Recurrence in the high-order nonlinear Schrödinger equation: a low dimensional analysis
• Fourier Amplitude Distribution and Intermittency in Mechanically Generated Surface Gravity Waves
• Rogue wave generation by inelastic quasi-soliton collisions in optical fibres
• On the origins of spectral broadening of incoherent waves:Catastrophic process of coherence degradation
• Galilean-transformed solitons and supercontinuum generation in dispersive media
• Mean flow modelling in high-order nonlinear Schrödinger equations
• Stability and instability of breathers in the $U(1)$ Sasa-Satusuma and Nonlinear Schrödinger models
• Evolution of internal cnoidal waves with local defects in a two-layer fluid with rotation