Twenty Parameters Families of Solutions to the NLS Equation and the Eleventh Peregrine Breather

Abstract : The Peregrine breather of order eleven (P11 breather) solution to the focusing one-dimensional nonlinear Schrödinger equation (NLS) is explicitly constructed here. Deformations of the Peregrine breather of order 11 with 20 real parameters solutions to the NLS equation are also given: when all parameters are equal to 0 we recover the famous P11 breather. We obtain new families of quasi-rational solutions to the NLS equation in terms of explicit quotients of polynomials of degree 132 in x and t by a product of an exponential depending on t. We study these solutions by giving patterns of their modulus in the (x; t) plane, in function of the different parameters.
Type de document :
Article dans une revue
Communications in Theoretical Physics, Chinese Physical Society, 2016, 65 (2), pp.136-144. 〈10.1088/0253-6102/65/2/136〉
Liste complète des métadonnées

Littérature citée [19 références]  Voir  Masquer  Télécharger

https://hal.archives-ouvertes.fr/hal-01224526
Contributeur : Pierre Gaillard <>
Soumis le : samedi 12 décembre 2015 - 11:10:53
Dernière modification le : mardi 3 juillet 2018 - 11:48:45
Document(s) archivé(s) le : dimanche 13 mars 2016 - 10:22:19

Fichier

hal nlsN11P20TCV6.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Pierre Gaillard, Mickael Gastineau. Twenty Parameters Families of Solutions to the NLS Equation and the Eleventh Peregrine Breather. Communications in Theoretical Physics, Chinese Physical Society, 2016, 65 (2), pp.136-144. 〈10.1088/0253-6102/65/2/136〉. 〈hal-01224526v2〉

Partager

Métriques

Consultations de la notice

256

Téléchargements de fichiers

87