Rational solutions to the KPI equation and multi rogue waves

Abstract : We construct here rational solutions to the Kadomtsev-Petviashvili equation (KPI) as a quotient of two polynomials in x, y and t depending on several real parameters. This method provides an infinite hierarchy of rational solutions written in terms of polynomials of degrees 2N (N + 1) in x, y and t depending on 2N - 2 real parameters for each positive integer N. We give explicit expressions of the solutions in the simplest cases N = 1 and N = 2 and we study the patterns of their modulus in the (x, y) plane for different values of time t and parameters. (C) 2016 Elsevier Inc. All rights reserved.
Type de document :
Article dans une revue
Liste complète des métadonnées

https://hal-univ-bourgogne.archives-ouvertes.fr/hal-01410308
Contributeur : Imb - Université de Bourgogne <>
Soumis le : mardi 6 décembre 2016 - 15:43:52
Dernière modification le : mercredi 7 décembre 2016 - 01:00:28

Identifiants

Collections

Citation

Pierre Gaillard. Rational solutions to the KPI equation and multi rogue waves. Annals of Physics, Elsevier Masson, 2016, 367, pp.1-5. 〈http://www.sciencedirect.com/science/article/pii/S0003491616000154〉. 〈10.1016/j.aop.2016.01.013 〉. 〈hal-01410308〉

Partager

Métriques

Consultations de la notice

27