Abstract

Soliton gases (SGs) represent large random soliton ensembles in physical systems that exhibit integrable dynamics at the leading order. SGs have been recently evidenced in optical and in water wave experiments [1,2]. Nowadays, the question of the collective dynamics and statistical properties of SGs is an active research topic in statistical mechanics [3], mathematical physics [4], nonlinear physics [5] and constitutes a chapter of turbulence theory termed integrable turbulence [6].

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