Add to ORKGWe obtain the most general matrix criterion for stability and instability of multicomponent solitary waves by considering a system of N incoherently coupled nonlinear Schrodinger equations. Soliton stability is studied as a constrained variational problem which is reduced to finite-dimensional linear algebra. We prove that unstable (all real and positive) eigenvalues of the linear stability problem for multicomponent solitary waves are connected with negative eigenvalues of the Hessian matrix. The latter is constructed for the energetic surface of N-component spatially localized stationary solutions
In this article, dissipative perturbations of the nonlinear Schrodinger equation (NLS) are considere...
The goal of this thesis is to present my research work following myPhD. My PhD thesis was devoted to...
International audienceThe nonlinear Schrödinger equation with derivative cubic nonlinearity admits a...
Solitary waves of Hamiltonian dispersive systems arise as critical points of the augmented Lagrangia...
In the present work, we consider a variety of two-component, one-dimensional states in nonlinear Sch...
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlin...
In [19] and [26], the authors proved the stability of multi-solitons for derivative nonlinear Schröd...
In this work, we present a stability criteria for the solitary wave solutions to a BBM system that c...
The linear stability problem for solitary wave states of the Kawahara---or fifth-order KdV-type---eq...
A general asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian sy...
We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be ...
We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be ...
We show that the complex cubic-quintic Ginzburg-Landau equation has a multiplicity of soliton soluti...
The array soliton stability in the discrete nonlinear Schrodinger equation with dispersion for perio...
In this article we consider nonlinear Schrödinger (NLS) equations in Rd for d = 1, 2, and 3. We con...
In this article, dissipative perturbations of the nonlinear Schrodinger equation (NLS) are considere...
The goal of this thesis is to present my research work following myPhD. My PhD thesis was devoted to...
International audienceThe nonlinear Schrödinger equation with derivative cubic nonlinearity admits a...
Solitary waves of Hamiltonian dispersive systems arise as critical points of the augmented Lagrangia...
In the present work, we consider a variety of two-component, one-dimensional states in nonlinear Sch...
This paper proves existence and stability of solitary-wave solutions of a system of 2-coupled nonlin...
In [19] and [26], the authors proved the stability of multi-solitons for derivative nonlinear Schröd...
In this work, we present a stability criteria for the solitary wave solutions to a BBM system that c...
The linear stability problem for solitary wave states of the Kawahara---or fifth-order KdV-type---eq...
A general asymptotic approach to the stability problem of multi-parameter solitons in Hamiltonian sy...
We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be ...
We demonstrate that, in contrast with what was previously believed, multihump solitary waves can be ...
We show that the complex cubic-quintic Ginzburg-Landau equation has a multiplicity of soliton soluti...
The array soliton stability in the discrete nonlinear Schrodinger equation with dispersion for perio...
In this article we consider nonlinear Schrödinger (NLS) equations in Rd for d = 1, 2, and 3. We con...
In this article, dissipative perturbations of the nonlinear Schrodinger equation (NLS) are considere...
The goal of this thesis is to present my research work following myPhD. My PhD thesis was devoted to...
International audienceThe nonlinear Schrödinger equation with derivative cubic nonlinearity admits a...