3 papers
math.AP2026
Orbital stability of black solitons for quasilinear Schrödinger equations with nonzero conditions at infinity
Erwan Le Quiniou
We investigate the orbital stability of black solitons for a broad class of quasilinear Schrödinger equations in one space dimension, with nonzero boundary conditions at infinity.…
math.AP2025
Stability and instability of the quasilinear Gross--Pitaevskii dark solitons
Erwan Le Quiniou
We study a quasilinear Schrödinger equation with nonzero conditions at infinity. In previous works, we obtained a continuous branch of traveling waves, given by dark solitons inde…
math.AP2025
Exotic traveling waves for a quasilinear Schrödinger equation with nonzero background
André de Laire, Erwan Le Quiniou
We study a defocusing quasilinear Schrödinger equation with nonzero conditions at infinity in dimension one. This quasilinear model corresponds to a weakly nonlocal approximation…