光纤中变系数非线性Schrdinger方程的孤子解及其应用  

Soliton solutions for variable coefficient nonlinear Schrdinger equation for optical fiber and their application

作　　者：宗丰德[1] 戴朝卿[1] 杨琴[1] 张解放[1] 

机构地区：[1]浙江师范大学非线性物理研究所,金华321004

出　　处：《物理学报》2006年第8期3805-3812,共8页Acta Physica Sinica

基　　金：浙江省自然科学基金(批准号:Y605312)资助的课题.~~

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Schrdinger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Schrdinger方程和两类特殊的变系数非线性Schrdinger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.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.

关 键 词：变系数 非线性SCHRODINGER方程 亮孤子解 暗孤子解 

分 类 号：O437[机械工程—光学工程]