3 papers
math.AP2026
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…
math.AP2026
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,…
math.AP2024
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…