Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equation

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165771In this paper, we prove the nonlinear orbital stability of the stationary traveling wave of the one-dimensional Gross-Pitaevskii equation by using Zakharov-Shabat's inverse scattering method.36 pagesAnalysis of PDEs35Q55Orbital stability of traveling waves for the one-dimensional Gross-Pitaevskii equationtext