A soliton gas resolution conjecture combined with a stochastic inverse scattering transform yields an explicit integral formula for the intensity PDF in semiclassical fNLSE turbulence that matches numerical simulations.
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Soliton gas resolution and statistics of random wave fields in semiclassical integrable turbulence
A soliton gas resolution conjecture combined with a stochastic inverse scattering transform yields an explicit integral formula for the intensity PDF in semiclassical fNLSE turbulence that matches numerical simulations.