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Construction of a multi-soliton-like solutions for non-integrable Schrödinger equations with non-trivial far field
Jordan Berthoumieu
This article provides a naturel sequel of previous works [6, 4] regarding the stability of travelling waves for a general one-dimensional Schrödinger equation (N LS) with non-zero…
Asymptotic stability of travelling waves for general nonlinear Schrödinger equations with non-zero condition at infinity
Jordan Berthoumieu
In previous works [4, 5], existence and uniqueness of travelling waves for the nonlinear Schrödinger equations have been shown for speeds close to the speed of sound. Furthermore,…
Orbital stability of a chain of dark solitons for general nonintegrable Schrödinger equations with non-zero condition at infinity
Jordan Berthoumieu
In this article, we focus on the stability of dark solitons for a general one-dimensional nonlinear Schrödinger equation. More precisely, we prove the orbital stability of a chain…
Minimizing travelling waves for the one-dimensional nonlinear Schrödinger equation with non-zero condition at infinity
Jordan Berthoumieu
This paper deals with the existence of travelling wave solutions for a general one-dimensional nonlinear Schrödinger equation. We construct these solutions by minimizing the energy…