Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber

Qian-Min Huang, Yi-Tian Gao and Lei Hu

Applied Mathematics and Computation, 2019, vol. 352, issue C, 270-278

Abstract: In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber is investigated. Bilinear forms, which are different from those previously reported, are obtained under certain vraible-coefficient constraints. Modulational instability is shown to be related to the group velocity dispersion, Kerr nonlinearity and fifth-order dispersion. Dark soliton solutions are presented and discussed: Soliton velocity is related to the Kerr nonlinearity and fifth-order dispersion, while soliton amplitude is independent of them. Interactions between the dark two solitons are elastic, possibly the overtaking or head-on interactions. Soliton stability is also discussed via the numerical simulation, and the latter is verified through the independence verification.

Keywords: Optical fiber; Fifth-order variable-coefficient nonlinear Schrödinger equation; Dark solitons; Stability; Bilinear forms (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:352:y:2019:i:c:p:270-278

DOI: 10.1016/j.amc.2019.01.027

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