N-order bright and dark rogue waves in a resonant erbium-doped fiber system.
The rogue waves in a resonant erbium-doped fiber system governed by a coupled system of the nonlinear Schrödinger equation and the Maxwell-Bloch equation (NLS-MB equations) are given explicitly by a Taylor series expansion about the breather solutions of the normalized slowly varying amplitude of the complex field envelope E, polarization p, and population inversion η. The n-order breather solutions of the three fields are constructed using a Darboux transformation (DT) by assuming periodic seed solutions. Moreover, the n-order rogue waves are given by determinant forms with n+3 free parameters. Furthermore, the possible connection between our rouge waves and the generation of supercontinuum generation is discussed.
Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, P.R. China.
Jingsong
J
He
Shuwei
S
Xu
K
K
Porsezian
K
K
Porseizan