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Phys. Rev. E 68, 046605 (2003) [8 pages]

Exact soliton solutions for the core of dispersion-managed solitons

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Zhiyong Xu1,*, Lu Li2, Zhonghao Li1, Guosheng Zhou1, and K. Nakkeeran3
1Department of Electronics and Information Technology, Shanxi University, Taiyuan 030006, China
2Institute of Theoretical Physics and Department of Physics, Shanxi University, Taiyuan 030006, China
3Photonics Research Center and Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong

Received 9 January 2003; published 14 October 2003

We consider the averaged dispersion-managed (DM) fiber system equation, which governs the dynamics of the core of the DM solitons. For a special case of such a system equation, we derive the exact soliton solutions using the Darboux transformation. Further, we discuss the interaction scenario between two neighboring solitons. Finally, we derive a dark soliton solution for such a system by assuming an ansatz, and the interaction between neighboring dark solitons is discussed.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.68.046605
DOI:
10.1103/PhysRevE.68.046605
PACS:
42.81.Dp, 42.65.Tg, 05.45.Yv

*Present address: ICFO–Institut de Ciencias Fotoniques, Jordi Girona 29, Nexus II 08034 Barcelona, Spain. Email address: Xu.Zhiyong@upc.es