23 citations · 23 across the 4 of their papers we have counts for
4 papers
The matrix Szegő equation
Ruoci Sun
This paper is dedicated to studying the matrix solutions to the cubic Szegő equation, introduced in Gérard--Grellier (2009) arXiv:0906.4540, leading to the cubic matrix Szegő equat…
Complete integrability of the Benjamin--Ono equation on the multi-soliton manifolds
Ruoci Sun
This paper is dedicated to proving the complete integrability of the Benjamin--Ono (BO) equation on the line when restricted to every -soliton manifold, denoted by $\mathcal{U}_…
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…
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…