Title | ||
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Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber. |
Abstract | ||
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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 |
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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 Huang | 1 | 0 | 0.34 |
Yi-Tian Gao | 2 | 42 | 14.96 |
Lei Hu | 3 | 697 | 86.91 |