Publications (9)
Origin of heavy tail statistics in equations of the Nonlinear Schrödinger type: an exact result
M. Onorato, D. Proment, G. El +2
We study the formation of extreme events in incoherent systems described by envelope equations, such as the Nonliner Schrödinger equation. We derive an identity that relates the e…
Nonlinear random optical waves: integrable turbulence, rogue waves and intermittency
S. Randoux, P. Walczak, M. Onorato +1
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 that en…
Spontaneous modulational instability of elliptic periodic waves: the soliton condensate model
D. S. Agafontsev, T. Congy, G. A. El +3
We use the spectral theory of soliton gas for the one-dimensional focusing nonlinear Schrödinger equation (fNLSE) to describe the statistically stationary and spatially homogeneou…
Integrable turbulence developing from strongly nonlinear partially coherent waves
D. S. Agafontsev, S. Randoux, P. Suret
We study numerically the integrable turbulence developing from strongly nonlinear partially coherent waves, in the framework of the focusing one-dimensional nonlinear Schrodinger e…
Statistics of extreme events in integrable turbulence
T. Congy, G. A. El, G. Roberti +3
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 SchrÃ…
Multisoliton interactions approximating the dynamics of breather solutions
D. S. Agafontsev, A. A. Gelash, S. Randoux +1
Breather solutions are considered to be generally accepted models of rogue waves. However, breathers are not localized, while wavefields in nature can generally be considered as lo…
Universal Peregrine soliton structure in nonlinear pulse compression in optical fiber
A. Tikan, C. Billet, G. El +8
We present experimental evidence of the universal emergence of the Peregrine soliton predicted in the semi-classical (zero-dispersion) limit of the focusing nonlinear Schrödinger…
Bidimensional measurements of photon statistics within a multimodal temporal framework
C. Hainaut, K. Ouahrouche, A. Rancon +5
Ultrafast imaging of photon statistics in two dimensions is a powerful tool for probing non-equilibrium and transient optical phenomena, yet it remains experimentally challenging d…
Topological swing in Bloch oscillations
L. K. Upreti, C. Evain, S. Randoux +3
We report new oscillations of wavepackets in quantum walks subjected to electric fields, that decorate the usual Bloch-Zener oscillations of insulators. The number of turning point…