Variational properties of space-periodic standing waves of nonlinear Schrödinger equations with general nonlinearities - Centre International de Mathématiques et d'Informatique de Toulouse Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Variational properties of space-periodic standing waves of nonlinear Schrödinger equations with general nonlinearities

Résumé

Periodic waves are standing wave solutions of nonlinear Schr\"odinger equations whose profile is periodic in space dimension one. We consider general nonlinearities and provide variational characterizations for the periodic wave profiles. This involves minimizing energy while keeping mass and momentum constant, as well as minimizing the action over the Nehari manifold. These variational approaches are considered both in the periodic and anti-periodic settings, and for focusing and defocusing nonlinearities. In appendix, we study the existence properties of periodic solutions of the triple power nonlinearity.
Fichier principal
Vignette du fichier
kfoury-lecoz-2024-03-26.pdf (3.23 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-04501704 , version 1 (28-03-2024)

Identifiants

  • HAL Id : hal-04501704 , version 1

Citer

Perla Kfoury, Stefan Le Coz. Variational properties of space-periodic standing waves of nonlinear Schrödinger equations with general nonlinearities. 2024. ⟨hal-04501704⟩
3 Consultations
6 Téléchargements

Partager

Gmail Facebook X LinkedIn More