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

DOI10.1098/rspa.2018.0806zbMath1472.76020OpenAlexW2936104308WikidataQ92145700 ScholiaQ92145700MaRDI QIDQ5160648

Yi Zhou, Fabio Baronio, Yanlin Ye, Philippe Grelu, Shi-hua Chen

Publication date: 29 October 2021

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2018.0806

zbMATH Keywords

fluid mechanicsDarboux transformationmathematical physicsrogue wavesopticsFokas-Lenells equationPeregrine solitons

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Solitary waves for incompressible inviscid fluids (76B25) NLS equations (nonlinear Schrödinger equations) (35Q55) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (11)

General rogue wave solutions under SU(2) transformation in the vector Chen-Lee-Liu nonlinear Schrödinger equation ⋮ Localized waves and breather-to-soliton conversions of the coupled Fokas-Lenells system ⋮ Mixed higher-order rogue waves and solitons for the coupled modified nonlinear Schrödinger equation ⋮ The Fokas-Lenells equation on the line: global well-posedness with solitons ⋮ Higher-order rogue waves and modulation instability of the two-component derivative nonlinear Schrödinger equation ⋮ Multicomponent Fokas–Lenells equations on Hermitian symmetric spaces ⋮ Rogue wave solutions of the vector Lakshmanan-Porsezian-Daniel equation ⋮ Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan-Porsezian-Daniel equations ⋮ On general rogue waves in the parity-time-symmetric nonlinear Schrödinger equation ⋮ W-shaped surfaces to the nematic liquid crystals with three nonlinearity laws ⋮ Rogue waves of wave resonant-interaction equations with the higher-order effects

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