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 ${\psi }_N(x,t;\mathbf{\lambda })$ of the cubic focusing Nonlinear Schrödinger (fNLS) equation in one space dimension. The $N$ soliton…