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arXiv · 1209.5540

Rogue waves of the Fokas-Lenells equation

Jingsong He·Shuwei Xu·Kuppuswamy Porsezian
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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.

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Jingsong He, Shuwei Xu, Kuppuswamy Porsezian. 2012-09-25. Rogue waves of the Fokas-Lenells equation. https://doi.org/10.1143/jpsj.81.124007

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