| Exact periodic solution in coupled nonlinear Schodinger equations |
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| 作者姓名： | 李齐良 陈均朗 孙丽丽 余淑毅 钱胜 |
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| 作者单位： | Institute of Telecommunication {&
Information Systems, School of Communication, Hangzhou Dianzi University,
Hangzhou 310037 China;Institute of Telecommunication {&
Information Systems, School of Communication, Hangzhou Dianzi University,
Hangzhou 310037 China;Institute of Telecommunication {&
Information Systems, School of Communication, Hangzhou Dianzi University,
Hangzhou 310037 China;Institute of Telecommunication {&
Information Systems, School of Communication, Hangzhou Dianzi University,
Hangzhou 310037 China;Institute of Telecommunication {&
Information Systems, School of Communication, Hangzhou Dianzi University,
Hangzhou 310037 China |
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| 基金项目： | Acknowledgment The author Li Q. L. would like to thanks anony- mous referee and Professor Li Chengjia about their beneficial advice and help. |
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| 摘 要： | The coupled nonlinear Schodinger 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.
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| 关 键 词： | 耦合非线性薛定谔方程 椭圆函数 精确周期解 双芯光纤 |
| 收稿时间： | 4/9/2006 12:00:00 AM |
| 修稿时间： | 2006-04-092006-10-12 |
Exact periodic solution in coupled nonlinear Schr?dinger equations |
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| Li Qi-Liang,Chen Jun-Lang,Sun Li-Li,Yu Shu-Yi and Qian Sheng.Exact periodic solution in coupled nonlinear Schodinger equations[J].Chinese Physics B,2007,16(6):1545-1548. |
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| Authors: | Li Qi-Liang Chen Jun-Lang Sun Li-Li Yu Shu-Yi and Qian Sheng |
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| Institution: | Institute of Telecommunication {&
Information Systems, School of Communication, Hangzhou Dianzi University,
Hangzhou 310037 China |
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| Abstract: | 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. |
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| Keywords: | dual core fibre the coupled nonlinear Schr?dinger equations elliptic function |
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