The Peregrine soliton in nonlinear fibre optics

B Kibler, J Fatome, C Finot, G Millot, F Dias, G Genty… - Nature physics, 2010 - nature.com
The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago,
but not so far experimentally observed in any physical system. It is of fundamental …

Universality of the Peregrine soliton in the focusing dynamics of the cubic nonlinear Schrödinger equation

A Tikan, C Billet, G El, A Tovbis, M Bertola, T Sylvestre… - Physical review …, 2017 - APS
We report experimental confirmation of the universal emergence of the Peregrine soliton
predicted to occur during pulse propagation in the semiclassical limit of the focusing …

Nonlinear spectral analysis of Peregrine solitons observed in optics and in hydrodynamic experiments

S Randoux, P Suret, A Chabchoub, B Kibler, G El - Physical Review E, 2018 - APS
The data recorded in optical fiber and in hydrodynamic experiments reported the pioneering
observation of nonlinear waves with spatiotemporal localization similar to the Peregrine …

The physics of the one-dimensional nonlinear Schrödinger equation in fiber optics: Rogue waves, modulation instability and self-focusing phenomena

F Copie, S Randoux, P Suret - Reviews in Physics, 2020 - Elsevier
We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

Doubly periodic solutions of the focusing nonlinear Schrödinger equation: Recurrence, period doubling, and amplification outside the conventional modulation …

M Conforti, A Mussot, A Kudlinski, S Trillo… - Physical Review A, 2020 - APS
Solitons on a finite background, also called breathers, are solutions of the focusing
nonlinear Schrödinger equation, which play a pivotal role in the description of rogue waves …

Breather-to-soliton transitions, nonlinear wave interactions, and modulational instability in a higher-order generalized nonlinear Schrödinger equation

L Wang, JH Zhang, ZQ Wang, C Liu, M Li, FH Qi, R Guo - Physical Review E, 2016 - APS
We study the nonlinear waves on constant backgrounds of the higher-order generalized
nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical …

Peregrine soliton generation and breakup in standard telecommunications fiber

K Hammani, B Kibler, C Finot, P Morin, J Fatome… - Optics letters, 2011 - opg.optica.org
We present experimental and numerical results showing the generation and breakup of the
Peregrine soliton in standard telecommunications fiber. The impact of nonideal initial …

Time-reversal generation of rogue waves

A Chabchoub, M Fink - Physical review letters, 2014 - APS
The formation of extreme localizations in nonlinear dispersive media can be explained and
described within the framework of nonlinear evolution equations, such as the nonlinear …

Instabilities, breathers and rogue waves in optics

JM Dudley, F Dias, M Erkintalo, G Genty - Nature Photonics, 2014 - nature.com
Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …

Observation of rogue wave triplets in water waves

A Chabchoub, N Akhmediev - Physics Letters A, 2013 - Elsevier
Doubly-localised breather solutions of the nonlinear Schrödinger equation (NLS) are
considered to be appropriate models to describe rogue waves in water waves as well as in …