253 citations · 1.4k across the 40 of their papers we have counts for
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Experimental observation of ballistic correlations in integrable turbulence
Elias Charnay, Adrien Escoubet, Francois Copie +4
Unequal-time correlation functions fundamentally characterize emergent statistical properties in complex systems, yet their direct measurement in experiments is challenging. We rep…
Soliton Gas: Theory, Numerics and Experiments
Pierre Suret, Stephane Randoux, Andrey Gelash +3
The concept of soliton gas was introduced in 1971 by V. Zakharov as an infinite collection of weakly interacting solitons in the framework of Korteweg-de Vries (KdV) equation. In t…
Bound state soliton gas dynamics underlying the noise-induced modulational instability
Andrey Gelash, Dmitry Agafontsev, Vladimir Zakharov +3
We investigate theoretically the fundamental phenomenon of the spontaneous, noise-induced modulational instability (MI) of a plane wave. The long-term statistical properties of the…
Early stage of integrable turbulence in 1D NLS equation: the semi-classical approach to statistics
Giacomo Roberti, Gennady El, Stephane Randoux +1
We examine statistical properties of integrable turbulence in the defocusing and focusing regimes of one-dimensional small-dispersion nonlinear Schrodinger equation (1D-NLSE). Spec…