Abstract. We study the nonlinear Schrödinger equation with general non-linearity of competing type. This equation have travelling waves with non-vanishing condition at infinity in one dimension. We give a sharp condition for the stability and instability of these solutions. This justifies the previous prediction posed in physical literature. 1
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equ...
In this article we are concerned with the existence and orbital stability of traveling wave solution...
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equ...
International audienceWe study the stability/instability of the subsonic travelling waves of the Non...
We study the stability/instability of the subsonic travelling waves of the Nonlinear Schrödinger Equ...
Abstract. We consider a derivative nonlinear Schrödinger equa-tion with a general nonlinearity. Thi...
AbstractWe are interested in the existence of travelling-waves for the nonlinear Schrödinger equatio...
"We analyze the instability of bubble soliton solutions for the cubic quintic nonlinear Schr¨odinger...
In this paper, we prove a criterion determining if a black soliton solution to a one-dimensional non...
and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equatio
In this paper we present some recent results concerning the existence, the stability and the dynamic...
This thesis is devoted to the study of nonlinear dispersive partial differential equations of Schröd...
In this article we consider nonlinear Schrödinger (NLS) equations in Rd for d = 1, 2, and 3. We con...
Consider any traveling wave solution of the Kuramoto-Sivashinsky equation that is asymptotic to a co...
We consider the focusing Nonlinear Schrödinger equation posed on the one dimensional line, with nonz...
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equ...
In this article we are concerned with the existence and orbital stability of traveling wave solution...
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equ...
International audienceWe study the stability/instability of the subsonic travelling waves of the Non...
We study the stability/instability of the subsonic travelling waves of the Nonlinear Schrödinger Equ...
Abstract. We consider a derivative nonlinear Schrödinger equa-tion with a general nonlinearity. Thi...
AbstractWe are interested in the existence of travelling-waves for the nonlinear Schrödinger equatio...
"We analyze the instability of bubble soliton solutions for the cubic quintic nonlinear Schr¨odinger...
In this paper, we prove a criterion determining if a black soliton solution to a one-dimensional non...
and stability of solitons for fully discrete approximations of the nonlinear Schrödinger equatio
In this paper we present some recent results concerning the existence, the stability and the dynamic...
This thesis is devoted to the study of nonlinear dispersive partial differential equations of Schröd...
In this article we consider nonlinear Schrödinger (NLS) equations in Rd for d = 1, 2, and 3. We con...
Consider any traveling wave solution of the Kuramoto-Sivashinsky equation that is asymptotic to a co...
We consider the focusing Nonlinear Schrödinger equation posed on the one dimensional line, with nonz...
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equ...
In this article we are concerned with the existence and orbital stability of traveling wave solution...
We prove the instability of a ``critical'' solitary wave of the generalized Korteweg -- de Vries equ...