TY - JOUR
T1 - Rogue waves in optical fibers in presence of third-order dispersion, self-steepening, and self-frequency shift
AU - Ankiewicz, Adrian
AU - Soto-Crespo, Jose M.
AU - Chowdhury, M. Amdadul
AU - Akhmediev, Nail
PY - 2013/1
Y1 - 2013/1
N2 - Rogue waves in optical fibers can be mathematically described by the nonlinear Schrödinger equation and its extensions that take into account third-order dispersion, self-steepening, and self-frequency shift. These equations are integrable in special cases such as the Sasa-Satsuma or the Hirota equations. However, approximate polynomial solutions can also be obtained in cases beyond these integrable ones. We present these solutions and confirm their validity using numerical simulations.
AB - Rogue waves in optical fibers can be mathematically described by the nonlinear Schrödinger equation and its extensions that take into account third-order dispersion, self-steepening, and self-frequency shift. These equations are integrable in special cases such as the Sasa-Satsuma or the Hirota equations. However, approximate polynomial solutions can also be obtained in cases beyond these integrable ones. We present these solutions and confirm their validity using numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=84871727525&partnerID=8YFLogxK
U2 - 10.1364/JOSAB.30.000087
DO - 10.1364/JOSAB.30.000087
M3 - Article
SN - 0740-3224
VL - 30
SP - 87
EP - 94
JO - Journal of the Optical Society of America B: Optical Physics
JF - Journal of the Optical Society of America B: Optical Physics
IS - 1
ER -