江苏大学学报（自然科学版）2013，Vol.34Issue(4)：486-491,6.DOI:10.3969/j.issn.1671-7775.2013.04.022
光纤非线性Schr(o)dinger方程新的解析解
New analytic solutions of nonlinear Schr(o)dinger equation for optic fiber
摘要
Abstract
Based on extended Jacobi elliptic functions expansion method and mapping expansion method,the variable coefficient nonlinear Schr(o)dinger equation for optic fiber was investigated by the general mapping expansion method.With the aid of Mathematica software,plenty of new soliton analytical solutions were obtained to discuss the soliton solutions under non-chirp case.Besides many known solutions of bright dark and soliton-like solutions,some new Jacobi-like elliptic function solutions were obtained which were generated to soliton-like solutions and single triangle-like function solutions in limit cases.The dispersion managed method for the basic soliton solution was also discussed.The results show that many index of the optical signal can be controlled by the coefficient of second order dispersion term.The envelope soliton solutions of optical fiber system with periodic gain or loss were discussed with many meaningful results.关键词
光纤变系数非线性Schr(o)dinger方程/广义形变映射法/色散控制/精确解/椭圆函数Key words
variable coefficient nonlinear Schr(o)dinger equation for optic fiber/ general mapping expansion method/ dispersion managed method/ exact solution/ elliptic function分类
数理科学引用本文复制引用
周建军,杨卫国..光纤非线性Schr(o)dinger方程新的解析解[J].江苏大学学报（自然科学版）,2013,34(4):486-491,6.基金项目
国家自然科学基金资助项目(11071104) （11071104）
