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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

Author

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

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.

Suggested Citation

  • Huang, Qian-Min & Gao, Yi-Tian & Hu, Lei, 2019. "Bilinear forms, modulational instability and dark solitons for a fifth-order variable-coefficient nonlinear Schrödinger equation in an inhomogeneous optical fiber," Applied Mathematics and Computation, Elsevier, vol. 352(C), pages 270-278.
    • Handle: RePEc:eee:apmaco:v:352:y:2019:i:c:p:270-278
    DOI: 10.1016/j.amc.2019.01.027
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