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.
Received: 24 October 2005
Revised: 10 July 2006
Accepted manuscript online:
Fund: 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).
Cite this article:
Tang Zheng-Hua(唐政华), Yan Jia-Ren(颜家壬), and Liu Ling-Hong(刘凌虹) Stability of dark soliton solutions of the quintic complex Ginzburg--Landau equation inthe case of normal dispersion 2006 Chinese Physics 15 2638
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