Integrable turbulence with nonlinear random optical waves

S Randoux, P Suret - Rogue and Shock Waves in Nonlinear Dispersive …, 2016 - Springer
The field of integrable turbulence deals with the general question of statistical changes that
are experienced by ensembles of nonlinear random waves propagating in systems ruled by …

Nonlinear random optical waves: Integrable turbulence, rogue waves and intermittency

S Randoux, P Walczak, M Onorato, P Suret - Physica D: Nonlinear …, 2016 - Elsevier
We examine the general question of statistical changes experienced by ensembles of
nonlinear random waves propagating in systems ruled by integrable equations. In our study …

Intermittency in integrable turbulence

S Randoux, P Walczak, M Onorato, P Suret - Physical Review Letters, 2014 - APS
We examine the statistical properties of nonlinear random waves that are ruled by the one-
dimensional defocusing and integrable nonlinear Schrödinger equation. Using fast …

Optical random Riemann waves in integrable turbulence

S Randoux, F Gustave, P Suret, G El - Physical Review Letters, 2017 - APS
We examine integrable turbulence (IT) in the framework of the defocusing cubic one-
dimensional nonlinear Schrödinger equation. This is done theoretically and experimentally …

Optical rogue waves in integrable turbulence

P Walczak, S Randoux, P Suret - Physical review letters, 2015 - APS
We report optical experiments allowing us to investigate integrable turbulence in the
focusing regime of the one-dimensional nonlinear Schrödinger equation (1D NLSE). In …

Integrable turbulence in optical fiber experiments: from local dynamics to statistics

A Tikan - 2018 - hal.science
This work is dedicated to the investigation of the origin of statistical phenomena recently
observed in the framework of integrable turbulence. Namely, experimental and numerical …

Rogue waves in integrable turbulence: semi-classical theory and fast measurements

P Suret, E Gennady, M Onorato… - Nonlinear Guided Wave …, 2017 - iopscience.iop.org
Integrable turbulence arises while noisy initial data are launched into a system described by
an integrable wave equation. Over recent years, the study of the complex dynamics and non …

Coexistence of Gaussian and non-Gaussian statistics in vector integrable turbulence

ZY Sun, X Yu, YJ Feng - Physical Review E, 2023 - APS
Integrable turbulence studies the complex dynamics of random waves for the nonlinear
integrable systems, and it has become an important element in exploring the sophisticated …

Statistics of extreme events in integrable turbulence

T Congy, GA El, G Roberti, A Tovbis, S Randoux… - Physical Review Letters, 2024 - APS
We use the spectral kinetic theory of soliton gas to investigate the likelihood of extreme
events in integrable turbulence described by the one-dimensional focusing nonlinear …

Optical rogue waves in integrable turbulence

P Suret, P Walczak, S Randoux - Real-time Measurements …, 2016 - spiedigitallibrary.org
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 …