Hydrodynamic supercontinuum.

  title={Hydrodynamic supercontinuum.},
  author={Amin Chabchoub and Norbert Hoffmann and Miguel Onorato and Go{\"e}ry Genty and John M. Dudley and Nail Akhmediev},
  journal={Physical review letters},
  volume={111 5},
We report the experimental observation of multi-bound-soliton solutions of the nonlinear Schrödinger equation (NLS) in the context of hydrodynamic surface gravity waves. Higher-order N-soliton solutions with N=2, 3 are studied in detail and shown to be associated with self-focusing in the wave group dynamics and the generation of a steep localized carrier wave underneath the group envelope. We also show that for larger input soliton numbers, the wave group experiences irreversible spectral… 

Figures from this paper

The Peregrine Breather on the Zero-Background Limit as the Two-Soliton Degenerate Solution: An Experimental Study

Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates. While the Peregrine breather is known to

Hydrodynamic Envelope Solitons and Breathers

The nonlinear Schrodinger equation (NLSE) is one of the key equations in physics. It describes the evolution in time and space of wave packets and it applies to several nonlinear dispersive media,

The Hydrodynamic Nonlinear Schrödinger Equation: Space and Time

The nonlinear Schrodinger equation (NLS) is a canonical evolution equation, which describes the dynamics of weakly nonlinear wave packets in time and space in a wide range of physical media, such as

Galilean-transformed solitons and supercontinuum generation in dispersive media

Kuznetsov-Ma Soliton Dynamics Based on the Mechanical Effect of Light.

It is demonstrated theoretically the formation of a novel form of Kuznetsov-Ma soliton in a microfabricated optomechanical array, where both photonic and phononic evolutionary dynamics exhibit periodic structure and coherent localized behavior enabled by radiation-pressure coupling of optical fields and mechanical oscillations.

Optical rogue waves in integrable turbulence

Using experiments with single mode optical fibers and numerical simulations, we investigate the statistics of partially coherent waves propagating in the anomalous dispersion regime (P. Walczak et

Local Emergence of Peregrine Solitons: Experiments and Theory

It has been shown analytically that Peregrine solitons emerge locally from a universal mechanism in the so-called semiclassical limit of the one-dimensional focusing nonlinear Schrödinger equation.



Solitary waves in dispersive complex media : theory, simulation, applications

KdV-Class Solitons.- Generalized KdV Equations. NLS and DNLS Equations.- Classic Two- and Three-Dimensional KP Models and Their Applications.- Generalized Two- and Three-Dimensional Models and Their

Nonlinear Ocean Waves and the Inverse Scattering Transform

Rogue waves in the ocean

Problems related to possible mechanisms behind the formation of rogue waves in the ocean under the action of wind are considered. Data on the formation of solitary (rogue) waves in an annular

Quantum Electronics

Progress in Quantum Electronics.J. H. Sanders and K. W. H. Stevens. Vol. 1. Pp. vii + 374. (Pergamon: Oxford and New York, December 1971.) £7.

I and J

Progress of Theoretical Physics Supplement 1

    Nature Physics 6

    • 790
    • 2010

    Solitons in optical fibers (Elsevier

    • 2006

    Optical Fiber Supercontinuum Generation

    • 2010

    Optics Communications 100

    • 186
    • 1993