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光纤中变系数非线性Schr(o)dinger方程的孤子解及其应用
引用本文:宗丰德,戴朝卿,杨琴,张解放.光纤中变系数非线性Schr(o)dinger方程的孤子解及其应用[J].物理学报,2006,55(8):3805-3812.
作者姓名:宗丰德  戴朝卿  杨琴  张解放
作者单位:浙江师范大学非线性物理研究所,金华,321004
摘    要:基于推广的立方非线性Klein—Gordon方程对一般形式的变系数非线性Schrodinger方程进行研究,讨论了无啁啾情形的孤子解,发现了包括亮、暗孤子解和类孤子解在内的一些新的精确解.同时对基本孤子的色散控制方法进行了简单讨论.作为特例,常系数非线性Schrodinger方程和两类特殊的变系数非线性Schrodinger方程的结果和已知的形式一致.此外,还研究了一个周期增益或损耗的光纤系统,得到了有意义的结果.

关 键 词:变系数  非线性Schr(o)dinger方程  亮孤子解  暗孤子解
收稿时间:07 26 2005 12:00AM
修稿时间:2005-07-262005-12-15

Soliton solutions for variable coefficient nonlinear Schr(o)dinger equation for optical fiber and their application
Zong Feng-De,Dai Chao-Qing,Yang Qin,Zhang Jie-Fang.Soliton solutions for variable coefficient nonlinear Schr(o)dinger equation for optical fiber and their application[J].Acta Physica Sinica,2006,55(8):3805-3812.
Authors:Zong Feng-De  Dai Chao-Qing  Yang Qin  Zhang Jie-Fang
Affiliation:1Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China
Abstract:In this paper, the general variable coefficient nonlinear Schrioedinger equation for the optical fiber is investigated based on the extended cubic nonlinear Klein-Gordon equation. The soliton solutions under non-chirp case are discussed, and some new exact solutions, including the bright soliton, the dark soliton and the soliton-like solution are obtained. The standard nonlinear Schrioedinger equation and four kinds of the variable coefficient nonlinear Schrioedinger equation are all corresponding special cases. In addition, some interesting results for the optical fiber system with periodic gain or loss are also obtained.
Keywords:variable coefficient  nonlinear Schrioedinger equation  bright soliton  dark soliton
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