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Chinese Physics, 2007, Vol. 16(6): 1545-1548    DOI: 10.1088/1009-1963/16/6/008
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Exact periodic solution in coupled nonlinear Schrödinger equations

Li Qi-Liang(李齐良), Chen Jun-Lang(陈均朗), Sun Li-Li(孙丽丽), Yu Shu-Yi(余淑毅), and Qian Sheng(钱胜)
Institute of Telecommunication & Information Systems, School of Communication, Hangzhou Dianzi University, Hangzhou 310037 China
Abstract  The coupled nonlinear Schr?dinger equations (CNLSEs) of two symmetrical optical fibres are nonintegrable, however the transformed CNLSEs have integrability. Integrability of the transformed CNLSEs is proved by the Hamilton dynamics theory and Galilei transform. Making use of a transform for CNLSEs and using the ansatz with Jacobi elliptic function form, this paper obtains the exact optical pulse solutions.
Keywords:  dual core fibre      the coupled nonlinear Schr?dinger equations      elliptic function  
Received:  09 April 2006      Revised:  12 October 2006      Accepted manuscript online: 
PACS:  02.30.Jr (Partial differential equations)  
  42.81.Qb (Fiber waveguides, couplers, and arrays)  

Cite this article: 

Li Qi-Liang(李齐良), Chen Jun-Lang(陈均朗), Sun Li-Li(孙丽丽), Yu Shu-Yi(余淑毅), and Qian Sheng(钱胜) Exact periodic solution in coupled nonlinear Schrödinger equations 2007 Chinese Physics 16 1545

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