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, $N$, of solitons grows to infinity. We dis…