中国物理B ›› 2006, Vol. 15 ›› Issue (11): 2638-2643.doi: 10.1088/1009-1963/15/11/030

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Stability of dark soliton solutions of the quintic complex Ginzburg--Landau equation inthe case of normal dispersion

唐政华, 颜家壬, 刘凌虹   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2005-10-24 修回日期:2006-07-10 出版日期:2006-11-20 发布日期:2006-11-20
  • 基金资助:
    Projectsupported by the National Natural Science Foundation of China (Grant No 10375022) and Scientific Research Fund of Hunan Provincial Education Department of China (Grant No 05C414).

Stability of dark soliton solutions of the quintic complex Ginzburg--Landau equation inthe case of normal dispersion

Tang Zheng-Hua(唐政华), Yan Jia-Ren(颜家壬)†, and Liu Ling-Hong(刘凌虹)   

  1. Department of Physics, Hunan Normal University, Changsha 410081, China
  • Received:2005-10-24 Revised:2006-07-10 Online:2006-11-20 Published:2006-11-20
  • Supported by:
    Projectsupported by the National Natural Science Foundation of China (Grant No 10375022) and Scientific Research Fund of Hunan Provincial Education Department of China (Grant No 05C414).

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摘要： Dark soliton solutions of the one-dimensional complex Ginzburg--Landau equation (CGLE) are analysed for the case of normal group-velocity dispersion. The CGLE can be transformed to the nonlinear Schr\"{o}dinger equation (NLSE) with perturbation terms under some practical conditions. The main properties of dark solitons are analysed by applying the direct perturbation theory of the NLSE. The results obtained may be helpful for the research on the optical soliton transmission system.

关键词: refractive index, spectral filtering

Abstract: Dark soliton solutions of the one-dimensional complex Ginzburg--Landau equation (CGLE) are analysed for the case of normal group-velocity dispersion. The CGLE can be transformed to the nonlinear Schr?dinger equation (NLSE) with perturbation terms under some practical conditions. The main properties of dark solitons are analysed by applying the direct perturbation theory of the NLSE. The results obtained may be helpful for the research on the optical soliton transmission system.

Key words: refractive index, spectral filtering

中图分类号:  (Optical solitons; nonlinear guided waves)

  • 42.65.Tg
02.30.Jr (Partial differential equations)