Rogue waves of the Fokas-Lenells equation
Exactly Solvable and Integrable Systems
2015-06-11 v1 Mathematical Physics
Analysis of PDEs
math.MP
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 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.
Keywords
Cite
@article{arxiv.1209.5540,
title = {Rogue waves of the Fokas-Lenells equation},
author = {Jingsong He and Shuwei Xu and Kuppuswamy Porsezian},
journal= {arXiv preprint arXiv:1209.5540},
year = {2015}
}
Comments
7 pages, 3 figures