Add to ORKGInternational audienceWe establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero, and when the solitons are initially well-separated and spatially ordered according to their speeds
International audienceThe nonlinear Schrödinger equation with derivative cubic nonlinearity admits a...
We prove the asymptotic stability in the energy space of non-zero speed solitons for the one-dimensi...
Ce travail est une contribution à l'étude des équations de Schrödinger non-linéaires (NLS) en dimens...
International audienceWe establish the stability in the energy space for sums of solitons of the one...
International audienceWe pursue our work on the dynamical stability of dark solitons for the one-dim...
International audienceWe introduce a new framework for the analysis of the stability of solitons for...
International audienceWe establish the orbital stability of the black soliton, or kink solution, $\v...
We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the e...
International audienceWe prove the orbital stability of sums of solitons for the one-dimensional Lan...
In this work, a rigorous proof of the orbital stability of the black soliton solution of the quintic...
We prove the orbital stability of sums of solitons for the one-dimensional Landau–Lifshitz equation ...
Abstract. We prove that solitons (or solitary waves) of the Zakharov-Kuznetsov (ZK) equation, a phys...
We consider the Cauchy problem for the Gross–Pitaevskii (GP) equation. Using the ∂ generalization of...
We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevskii e...
We construct a family of conserved energies for the one dimensional Gross-Pitaevskii equation, but i...
International audienceThe nonlinear Schrödinger equation with derivative cubic nonlinearity admits a...
We prove the asymptotic stability in the energy space of non-zero speed solitons for the one-dimensi...
Ce travail est une contribution à l'étude des équations de Schrödinger non-linéaires (NLS) en dimens...
International audienceWe establish the stability in the energy space for sums of solitons of the one...
International audienceWe pursue our work on the dynamical stability of dark solitons for the one-dim...
International audienceWe introduce a new framework for the analysis of the stability of solitons for...
International audienceWe establish the orbital stability of the black soliton, or kink solution, $\v...
We prove the global-in-time well-posedness of the one dimensional Gross-Pitaevskii equation in the e...
International audienceWe prove the orbital stability of sums of solitons for the one-dimensional Lan...
In this work, a rigorous proof of the orbital stability of the black soliton solution of the quintic...
We prove the orbital stability of sums of solitons for the one-dimensional Landau–Lifshitz equation ...
Abstract. We prove that solitons (or solitary waves) of the Zakharov-Kuznetsov (ZK) equation, a phys...
We consider the Cauchy problem for the Gross–Pitaevskii (GP) equation. Using the ∂ generalization of...
We present a large family of exact solitary wave solutions of the one-dimensional Gross-Pitaevskii e...
We construct a family of conserved energies for the one dimensional Gross-Pitaevskii equation, but i...
International audienceThe nonlinear Schrödinger equation with derivative cubic nonlinearity admits a...
We prove the asymptotic stability in the energy space of non-zero speed solitons for the one-dimensi...
Ce travail est une contribution à l'étude des équations de Schrödinger non-linéaires (NLS) en dimens...