中国物理B ›› 2009, Vol. 18 ›› Issue (9): 3657-3662.doi: 10.1088/1674-1056/18/9/009

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Abundant exact solutions for a strong dispersion-managed system equation

李翊神1, 林机2, 李画眉3   

  1. (1)Department of Mathematics, University of Science and Technology of China, Hefei 230026, China; (2)Department of Physics, Zhejiang Normal University,Jinhua 321004, China; (3)Department of Physics, Zhejiang Normal University, Jinhua 321004, China
  • 收稿日期:2008-10-24 修回日期:2009-05-15 出版日期:2009-09-20 发布日期:2009-09-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575087 and 10875106), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

Abundant exact solutions for a strong dispersion-managed system equation

Li Hua-Mei(李画眉)a)†, Li Yi-Shen(李翊神)b), and Lin Ji(林机)a)   

  1. a Department of Physics, Zhejiang Normal University,Jinhua 321004, China; b Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
  • Received:2008-10-24 Revised:2009-05-15 Online:2009-09-20 Published:2009-09-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10575087 and 10875106), and the Natural Science Foundation of Zhejiang Province, China (Grant No Y605056).

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摘要： The generalized nonlinear Schr?dinger equation (NLSE), which governs the dynamics of dispersion-managed (DM) solitons, is considered. A novel transformation is constructed such that the DM fibre system equation with optical loss (gain) is transformed to the standard NLSE under a restricted condition. Abundant new soliton and periodic wave solutions are obtained by using the transformation and the solutions of standard NLSE. Further, we discuss their main properties and the interaction scenario between two neighbouring solitons by using direct computer simulation.

Abstract: The generalized nonlinear Schr?dinger equation (NLSE), which governs the dynamics of dispersion-managed (DM) solitons, is considered. A novel transformation is constructed such that the DM fibre system equation with optical loss (gain) is transformed to the standard NLSE under a restricted condition. Abundant new soliton and periodic wave solutions are obtained by using the transformation and the solutions of standard NLSE. Further, we discuss their main properties and the interaction scenario between two neighbouring solitons by using direct computer simulation.

Key words: dispersion-managed soliton, transformation, exact solution

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

  • 42.65.Tg
02.30.Hq (Ordinary differential equations) 42.81.Dp (Propagation, scattering, and losses; solitons)