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math.AP2019
Traveling waves of the quintic focusing NLS-Szeg{ö} equation
Ruoci Sun
We study the influence of Szeg{ö} projector on the L 2 --critical one-dimensional non linear focusing Schr{ö}dinger equation, leading to the quintic focusing NLS-Szeg{ö} equati…
math.AP2019
Long time behavior of the NLS-Szeg{ö} equation
Ruoci Sun
We are interested in the influence of filtering the positive Fourier modes to the integrable non linear Schr{ö}dinger equation. Equivalently, we want to study the effect of dispers…