期刊文献+

含高阶色散效应的NLS方程的孤子解研究 被引量:1

The Study of Soliton Solution of NLS Equation With High Order Dispersion Effect
下载PDF
导出
摘要 在孤子传输系统中引进三阶色散微扰,根据非线性薛定谔(NLS)方程,利用变分法对有三阶色散效应扰动的光孤子在光纤中的传输情况进行了研究,并得出了孤子解.结果表明,三阶色散使孤子的中心位置和相位随传输距离作线性漂移,随着三阶色散系数的增大,这种漂移更加厉害,当其增大到一定程度,就会破坏孤子传输的稳定性,甚至导致孤子崩溃. By importing third-order dispersion effect to the soliton communication system,the evolution properties of the soliton transmitting in the fiber with third-order dispersion effect are studied via solving the nonlinear Schredinger (NLS) equation by making use of variational principle method, and it has derived the soliton solution. It is shown that the centre position and phase drift linearly with the transmission distance. With the increase of third-order dispersion effect, the drift becomes more fierce. When the increase reaches a certain extent, it will undermine the stability of the soliton transmission, and even lead to the collapse of the soliton.
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2009年第1期78-81,共4页 Journal of Henan Normal University(Natural Science Edition)
关键词 变分法 三阶色散 孤子解 variational principle third-order dispersion effect soliton solution
  • 相关文献

参考文献4

二级参考文献14

  • 1单雪康.初始啁啾对光纤中光孤立子传输的影响——变分研究[J].电子学报,1989,17(3):125-127. 被引量:7
  • 2YangXianglin WenYangjing.The Fundamental Theory of Optical Fiber Soliton Communications (光纤孤子通信理论基础)(第五章)[M].Beijing:National Defence Industry Press,2000..
  • 3Hasegawa A.Optical Soliton in Fiber[M].New York:Spring-Verlag,1989.
  • 4Bondeson A,Lisak M,Anderson D.Soliton perturbations:a variational principle for the parameters[J].Physica Script,1979,20:479-485.
  • 5Anderson D.Variational approach to nonlinear pulse propagation in optical fibers[J].Phys.Rev.A,1983,27(6):3135-3145.
  • 6Agrawal G P.Nonlinear Fiber Optics[M].NewYork:Academic Press,1989,58-64.
  • 7Kivshar Y S,Yang X.Perturbation-induced dynamics of dark soliton[J].Phys.Rev.E,1994,49 (2):1657-1670.
  • 8Kivshar Y S.Nonlinear dynamics near the zero-dispersion point in optical fiber[J].Phys.Rev.A,1991,43(3):1677-1679.
  • 9V.I.Karpman and E.M.Maslov.Perturbation theory for solitons[J].JETP,1997,73:537-559.
  • 10谢应茂,赖昭胜.三阶色散对光纤中基暗孤子传输特性影响的变分研究[J].赣南师范学院学报,1994,15(5):25-28. 被引量:2

共引文献14

同被引文献1

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部