含有高阶非线性kerr效应的薛定谔方程的解  

Solutions for the Schr?dinger Equation with Higherorder Nonlinear Kerr Terms

作　　者：王媛 WANG Yuan(Shanxi Energy College,Jinzhong 030600,China)

机构地区：[1]山西能源学院,山西晋中030600

出　　处：《太原师范学院学报（自然科学版）》2019年第1期23-27,共5页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：光纤通讯中超短光脉冲的传导可由阶数更高的非线性薛定谔方程描述,文章主要利用广义的Jacobi展开法以及符号计算系统Maple,对一个含有高阶非线性kerr效应的薛定谔方程进行了研究,在参数满足一定的前提下,得到了7种类型的周期解.The propagation of ultra-short optical pulses in optical fibers is described by higher order nonlinear Schrodinger equation.We study the nonlinear Schrodinger equation with higher order non-kerr terms.By means of the generalized Jacobi expansion method and symbolic computation systems Maple,we obtain seven types of novel periodic wave solutions to the equation under certain parametric conditions.

关 键 词：光脉冲 高阶非线性薛定谔方程 雅可比椭圆函数 周期波解 

分 类 号：O175.24[理学—数学]