Modulation Instability, Breathers, and Bound Solitons in an Erbium‐Doped Fiber System with Higher‐Order Effects

Rui Guo, Hui-Qin Hao and Xiao-Song Gu

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: We mainly investigate the generalized nonlinear Schrödinger‐Maxwell‐Bloch system which governs the propagation of optical solitons in nonlinear erbium‐doped fibers with higher‐order effects. We deduce Lax pair, analyze modulation instability conditions, construct the Darboux transformation, and derive the Akhmediev breathers, Ma‐breathers, bound solitons, and two‐breather solutions for this system. Considering the influences of higher‐order effects, propagation properties of those solitons are discussed.

Date: 2014
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https://doi.org/10.1155/2014/185654

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:185654

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