中国物理B ›› 2007, Vol. 16 ›› Issue (6): 1545-1548.doi: 10.1088/1009-1963/16/6/008

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Exact periodic solution in coupled nonlinear Schr?dinger equations

李齐良, 陈均朗, 孙丽丽, 余淑毅, 钱胜   

  1. Institute of Telecommunication {& Information Systems, School of Communication, Hangzhou Dianzi University, Hangzhou 310037 China
  • 收稿日期:2006-04-09 修回日期:2006-10-12 出版日期:2007-06-20 发布日期:2007-06-20

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)   

  1. Institute of Telecommunication & Information Systems, School of Communication, Hangzhou Dianzi University, Hangzhou 310037 China
  • Received:2006-04-09 Revised:2006-10-12 Online:2007-06-20 Published:2007-06-20

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摘要： The coupled nonlinear Schr\"{o}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.

关键词: dual core fibre, the coupled nonlinear Schr?dinger equations, elliptic function

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.

Key words: dual core fibre, the coupled nonlinear Schr?dinger equations, elliptic function

中图分类号:  (Partial differential equations)

  • 02.30.Jr
42.81.Qb (Fiber waveguides, couplers, and arrays)