Solitons, breathers and rogue waves for the coupled Fokas–Lenells system via Darboux transformation. (February 2017)

• Record Type: Journal Article
• Authors: Zhang, Y.; Yang, J.W.; Chow, K.W.; Wu, C.F.
• Is Part Of: Nonlinear analysis. Volume 33(2017)
• Page Start: 237
• Page End: 252
• Publication Date: 2017-02
• Subjects: The coupled Fokas–Lenells equation -- Darboux transformation -- Soliton -- Breather -- Rogue wave; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2016.06.006
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: In this paper, a vector generalization of the Fokas–Lenells system, which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order, is investigated. Higher-order soliton, breather, and rogue wave solutions of the coupled Fokas–Lenells system are derived via the n -fold Darboux transformation. Meanwhile the dynamic characteristics of those solitary wave solutions have been discussed.