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)
a Department of Physics, Zhejiang Normal University,Jinhua 321004, China; b Department of Mathematics, University of Science and Technology of China, Hefei 230026, China
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.
Received: 24 October 2008
Revised: 15 May 2009
Accepted manuscript online:
Fund: 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).
Cite this article:
Li Hua-Mei(李画眉), Li Yi-Shen(李翊神), and Lin Ji(林机) Abundant exact solutions for a strong dispersion-managed system equation 2009 Chin. Phys. B 18 3657
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