Noise-induced Modulation Instability revisited : Soliton gas theory and ultrafast optical measurements

Pierre Suret

The concept of Soliton Gas (SG) as a large ensemble of solitons randomly distributed on an infinite line and elastically interacting with each other was originally proposed by Zakharov in 1971. By using the famous example of the modulation instability in presence of noise, we show that SG is a promising model to describe the statistical properties of integrable turbulence.