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arXiv · 1210.2522

N-order bright and dark rogue waves in a Resonant erbium-doped Fibre system

Jingsong He·Shuwei Xu·K. Porseizan
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Abstract

The rogue waves in a resonant erbium-doped fibre 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 Darboux transformation (DT) by assuming periodic seed solutions. What is more, 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.

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Jingsong He, Shuwei Xu, K. Porseizan. 2012-12-19. N-order bright and dark rogue waves in a Resonant erbium-doped Fibre system. https://doi.org/10.1103/physreve.87.059904

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