标题： Fokas-Lenells方程的 rogue 波 显示英文标题

标题： Rogue waves of the Fokas-Lenells equation

摘要： Fokas-Lenells（FL）方程作为一个模型方程出现，它描述了光子纤维中非线性脉冲传播（保留到下一个主要渐近阶的项，在主要渐近阶非线性薛定谔（NLS）方程成立）。这里我们给出了FL方程的 rogue 波的一个显式解析表示。这个表示通过推导出适当的 Darboux 变换（DT）并利用相关的呼吸子解的泰勒级数展开来构建。当考虑某些高阶非线性效应时，给出了光子纤维中 rogue 波的传播。 显示英文摘要

摘要： 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 Schr\"odinger (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.