The n-order rogue waves of Fokas-Lenells equation
Exactly Solvable and Integrable Systems
2012-11-27 v1
Abstract
Considering certain terms of the next asymptotic order beyond the nonlinear Schrodinger equation (NLS) equation, the Fokas-Lenells (FL) equation governed by the FL system arise as a model for nonlinear pulse propagation in optical fibers. The expressions of the q[n] and r[n] in the FL system are generated by n-fold Darboux transformation (DT). Further, a Taylor series expansion about the n-order breather solutions q[n] generated using DT by assuming periodic seed solutions under reduction can generate the n-order rogue waves of the FL equation explicitly with 2n+3 free parameters.
Keywords
Cite
@article{arxiv.1211.5924,
title = {The n-order rogue waves of Fokas-Lenells equation},
author = {Shuwei Xu and Jingsong He and Yi Cheng and K. Porseizan},
journal= {arXiv preprint arXiv:1211.5924},
year = {2012}
}
Comments
19 pages, 22 figures, submitted