Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis

Résumé

Our goal is to compute excited states for the nonlinear Schrödinger equation in the radial setting. We introduce a new technique based on the Nehari manifold approach and give a comparison with the classical shooting method. We observe that the Nehari method allows to accurately compute excited states on large domains but is relatively slow compared to the shooting method.
Fichier principal
Vignette du fichier
besse-duboscq-lecoz-2023-07-05.pdf (2.63 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04151806 , version 1 (05-07-2023)
hal-04151806 , version 2 (05-11-2024)

Identifiants

Citer

Christophe Besse, Romain Duboscq, Stefan Le Coz. Computation of excited states for the nonlinear Schrödinger equation: numerical and theoretical analysis. 2023. ⟨hal-04151806v1⟩
170 Consultations
86 Téléchargements

Altmetric

Partager

More