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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 a…
math.AP2025
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 disc…