7 citations · 11 across the 7 of their papers we have counts for
8 papers
Normal form for transverse instability of gZK equation for the line soliton with nearly critical speed
Yakine Bahri, Hichem Hajaiej
In this paper, we study the transverse instability of generalized Zakharov-Kuznetsov equation for the line soliton with critical speed. We derive and justify a normal form reductio…
Infinitely many positive solutions of a Gross-Pitaevskii equation in the presence of a harmonic potential and combined nonlinearities
Yakine Bahri, Hichem Hajaiej
The main goal of this paper is to address an important conjecture in the field of differential equations in the presence of a harmonic potential. While in the subcritical case, the…
Pitchfork bifurcation at line solitons for nonlinear Schrödinger equations on the product space
Takafumi Akahori, Yakine Bahri, Slim Ibrahim +1
In this paper, we study the bifurcation problem from a line soliton for a stationary nonlinear Schrödinger equation on the product space . We extend e…
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…
Asymptotic stability in the energy space for dark solitons of the Landau-Lifshitz equation
Yakine Bahri
We prove the asymptotic stability in the energy space of non-zero speed solitons for the one-dimensional Landau-Lifshitz equation with an easy-plane anisotropy. More precisely, we…