4 papers
Transverse stability of line soliton and characterization of ground state for wave guide Schrödinger equations
Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi
In this paper, we study the transverse stability of the line Schrödinger soliton under a full wave guide Schrödinger flow on a cylindrical domain . When t…
Self-similar blow-up profiles for slightly supercritical nonlinear Schrödinger equations
Yakine Bahri, Yvan Martel, Pierre Raphaël
We construct radially symmetric self-similar blow-up profiles for the mass supercritical nonlinear Schrödinger equation on , close…
Remarks on solitary waves and Cauchy problem for a Half-wave-Schrödinger equations
Yakine Bahri, Slim Ibrahim, Hiroaki Kikuchi
In this paper, we study the solitary wave and the Cauchy problem for Half-wave-Schrödinger equations in the plane. First, we show the existence and orbital stability of the ground…
On the asymptotic stability in the energy space for multi-solitons of the Landau-Lifshitz equation
Yakine Bahri
We establish the asymptotic stability of multi-solitons for the one-dimensional Landau-Lifshitz equation with an easy-plane anisotropy. The solitons have non-zero speed, are ordere…