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International Journal of Theoretical Physics

, Volume 52, Issue 3, pp 689–698 | Cite as

Dark Bound Solitons and Soliton Chains for the Higher-Order Nonlinear Schrödinger Equation

  • Zhi-Yuan Sun
  • Yi-Tian Gao
  • Xiang-Hua Meng
  • Xin Yu
  • Ying Liu
Article

Abstract

Dark bound solitons and soliton chains without interactions are investigated for the higher-order nonlinear Schrödinger (HNLS) equation, which can model the propagation of the femtosecond optical pulse under some physical situations in nonlinear fiber optics. Via the modulation of parameters for the analytic solutions, different types of dark bound solitons and soliton chains can be derived for the HNLS equation. In addition, stabilities of those structures are checked through numerical simulations. Our discussions are expected to be helpful in interpreting those new structures, and applied to the long-distance transmission of the femtosecond pulses in optical fibers.

Keywords

Dark bound soliton Soliton chains Higher-order nonlinear Schrödinger equation Soliton stability Nonlinear fiber optics 

Notes

Acknowledgements

We are grateful to Editor-in-Chief Saller, the Referee, and all the members of our discussion group for their beneficial comments. This work has been supported by the National Natural Science Foundation of China under Grant No. 11272023, by the Open Fund of State Key Laboratory of Information Photonics and Optical Communications (Beijing University of Posts and Telecommunications), by the Open Fund (No. SKLSDE-2011KF-03) and Supported Project (No. SKLSDE-2012ZX-10) of the State Key Laboratory of Software Development Environment, Beijing University of Aeronautics and Astronautics, and by the Doctoral Innovation Foundation (Nos. 30-0350 and 30-0366), Beijing University of Aeronautics and Astronautics.

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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  • Zhi-Yuan Sun
    • 1
  • Yi-Tian Gao
    • 1
    • 2
  • Xiang-Hua Meng
    • 3
  • Xin Yu
    • 1
  • Ying Liu
    • 1
  1. 1.Ministry-of-Education Key Laboratory of Fluid Mechanics and National Laboratory for Computational Fluid DynamicsBeijing University of Aeronautics and AstronauticsBeijingChina
  2. 2.State Key Laboratory of Software Development EnvironmentBeijing University of Aeronautics and AstronauticsBeijingChina
  3. 3.School of ScienceBeijing University of Posts and TelecommunicationsBeijingChina

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