Title
Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber.
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.
Year
DOI
Venue
2019
10.1016/j.amc.2019.01.027
Applied Mathematics and Computation
Keywords
DocType
Volume
Optical fiber,Fifth-order variable-coefficient nonlinear Schrödinger equation,Dark solitons,Stability,Bilinear forms
Journal
352
ISSN
Citations 
PageRank 
0096-3003
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Qian-Min Huang100.34
Yi-Tian Gao24214.96
Lei Hu369786.91