3 papers
math-ph2026
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 soliton solutions of the cubic focusing Nonlinear Schrödinger (fNLS) equation in one space dimension. The soli…
math.AP2026
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 -soliton solutions that achieve the theoretical maximal…
math.AP2026
The formation of a soliton gas condensate for the focusing Nonlinear Schrödinger equation
Aikaterini Gkogkou, Guido Mazzuca, Kenneth D. T-R McLaughlin
In this work, we carry out a rigorous analysis of a multi-soliton solution of the focusing nonlinear Schrödinger equation as the number, , of solitons grows to infinity. We dis…