Painlevé Universality classes for the maximal amplitude solution of the Focusing Nonlinear Schrödinger Equation with randomness

Aikaterini Gkogkou, Guido Mazzuca, Kenneth D. T-R McLaughlin

We establish universality for extremal solutions of the focusing nonlinear Schrödinger equation. Extremal solutions are $N$-soliton solutions that achieve the theoretical maximal…