General rogue wave solutions of the coupled Fokas-Lenells equations and non-recursive Darboux transformation

Year: 2019

Authors: Ye YL., Zhou Y., Chen SH., Baronio F., Grelu P.

Autors Affiliation: Southeast Univ, Sch Phys, Nanjing 211189, Jiangsu, Peoples R China; CNR, INO, Via Branze 38, I-25123 Brescia, Italy; Univ Brescia, Dipartimento Ingn Informaz, Via Branze 38, I-25123 Brescia, Italy; Univ Bourgogne Franche Comte, CNRS, Lab ICB, UMR 6303, 9 Ave A Savary, F-21078 Dijon, France

Abstract: We formulate a non-recursive Darboux transformation technique to obtain the general nth-order rational rogue wave solutions to the coupled Fokas-Lenells system, which is an integrable extension of the noted Manakov system, by considering both the double-root and triple-root situations of the spectral characteristic equation. Based on the explicit fundamental and second-order rogue wave solutions, we demonstrate several interesting rogue wave dynamics, among which are coexisting rogue waves and anomalous Peregrine solitons. Our solutions are generalized to include the complete background-field parameters and therefore helpful for future experimental study.


Volume: 475 (2224)      Pages from: 20180806-1  to: 20180806-18

KeyWords: rogue waves; Peregrine solitons; Fokas-Lenells equation; Darboux transformation
DOI: 10.1098/rspa.2018.0806

Citations: 23
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