Rogue waves of the Fokas-Lenells equation

Abstract

The Fokas-Lenells (FL) equation arises as a model eqution which describes for nonlinear pulse propagation in optical fibers by retaining terms up to the next leading asymptotic order (in the leading asymptotic order the nonlinear Schrödinger (NLS) equation results). Here we present an explicit analytical representation for the rogue waves of the FL equation. This representation is constructed by deriving an appropriate Darboux transformation (DT) and utilizing a Taylor series expansion of the associated breather solution. when certain higher-order nonlinear effects are considered, the propagation of rogue waves in optical fibers is given.

7 pages, 3 figures

References in corpus (2)

• On a novel integrable generalization of the nonlinear Schrödinger equation
• Linear and Nonlinear Rogue Wave Statistics in the Presence of Random Currents

Cited by in corpus (7)

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• Breather and Rogue Wave solutions of a Generalized Nonlinear Schrodinger Equation
• Few-cycle optical rogue waves:complex modified Korteweg-de Vries equation
• General rogue waves in the focusing and defocusing Ablowitz-Ladik equations
• The Fokas-Lenells equations: Bilinear approach
• Rogue wave triggered at a critical frequency of a nonlinear resonant medium
• Multicomponent Fokas-Lenells equations on Hermitian symmetric spaces