Rogue Waves of the FokasLenells Equation
Abstract
The FokasLenells (FL) equation arises as a model equation 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 higherorder nonlinear effects are considered, the propagation of rogue waves in optical fibers is given.
 Publication:

Journal of the Physical Society of Japan
 Pub Date:
 December 2012
 DOI:
 10.1143/JPSJ.81.124007
 arXiv:
 arXiv:1209.5540
 Bibcode:
 2012JPSJ...81l4007H
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics;
 Mathematics  Analysis of PDEs
 EPrint:
 7 pages, 3 figures