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N-order bright and dark rogue waves in a resonant erbium-doped fiber system.

Research paper by Jingsong J He, Shuwei S Xu, K K Porsezian, K K Porseizan

Indexed on: 02 Feb '13Published on: 02 Feb '13Published in: Physical review. E, Statistical, nonlinear, and soft matter physics



Abstract

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.