Law of Large Numbers and Central Limit Theorem for random sets of solitons of the focusing nonlinear Schrödinger equation

Manuela Girotti, Tamara Grava, Ken D. T-R McLaughlin +1

We study a random configuration of $N$ soliton solutions $\ddot{I}{ˆ}_N(x,t;\hat{\mathbf{I}}»)$ of the cubic focusing Nonlinear Schrödinger (fNLS) equation in one space dimension. The $N$ soli…