Construction of the multi-soliton trains for a generalized derivative nonlinear Schr\"odinger equations by a fixed point method
Résumé
We consider a derivative nonlinear Schrödinger equation with general nonlinearlity: i∂tu + ∂ 2 x u + i|u| 2σ ∂xu = 0, In [12], the authors prove the stability of two solitary waves in energy space for σ ∈ (1, 2). As a consequence, there exists a two-soliton trains in energy space for σ ∈ (1, 2). Our goal in this paper is proving the existence of multi-soliton trains in energy space for σ 5 2. Our proofs proceed by xed point arguments around the desired prole, using Strichartz estimates.
Fichier principal
multi soliton trains for gDNLS (1).pdf (447.75 Ko)
Télécharger le fichier
multi soliton trains for gDNLS.toc (972 B)
Télécharger le fichier
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|