12 citations · 25 across the 7 of their papers we have counts for
7 papers
Complete integrability of the Calogero--Sutherland DNLS equation on
Rana Badreddine
We establish the complete integrability of the defocusing Calogero--Sutherland derivative nonlinear Schrödinger equation \begin{equation}\label{CS-abstract}\tag{CS} i\partial_t u +…
Asymptotic stability of Benjamin--Ono multisolitons in
Rana Badreddine, Rowan Killip, Monica Visan
We prove the following dichotomy result for solutions to the Benjamin--Ono equation: On windows traveling at any speed, the solution either converges to zero or to…
Global well-posedness for intermediate NLS with nonvanishing conditions at infinity
Takafumi Akahori, Rana Badreddine, Slim Ibrahim +1
The intermediate nonlinear Schrödinger equation (INLS) describes the dynamics of the envelope of weakly nonlinear internal waves in a stratified fluid of finite depth. While the IN…
Orbital stability of Benjamin--Ono multisolitons
Rana Badreddine, Rowan Killip, Monica Visan
We show that multisoliton solutions to the Benjamin--Ono equation are uniformly orbitally stable in for every . This improves the regular…
Zero dispersion limit of the Calogero-Moser derivative NLS equation
Rana Badreddine
We study the zero-dispersion limit of the Calogero-Moser derivative NLS equation starting from an initial…
Traveling waves & finite gap potentials for the Calogero-Sutherland Derivative nonlinear Schrödinger equation
Rana Badreddine
We consider the Calogero-Sutherland derivative nonlinear Schrödinger equation \begin{equation}\tag{CS} i\partial_tu+\partial_x^2u\,\pm\,\frac{2}{i}\,\partial_xΠ(|u|^2)u=0\,,\qquad…
On the global well-posedness of the Calogero-Sutherland derivative nonlinear Schrödinger equation
Rana Badreddine
We consider the Calogero-Sutherland derivative nonlinear Schrödinger equation in the focusing (with sign ) and defocusing case (with sign ) $$ i\partial_tu+\partial_x^2u\,\pm…