光纤中阿秒脉冲的五阶非线性Schrödinger方程的有理周期解  

Rational Periodic Solutions for a Fifth⁃Order Nonlinear Schrödinger Equation for the Attosecond Pulses in an Optical Fiber

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

机构地区：[1]山西能源学院基础部,山西晋中030600

出　　处：《山西师范大学学报（自然科学版）》2022年第3期27-30,共4页Journal of Shanxi Normal University(Natural Science Edition)

基　　金：山西省教育厅项目(J2020398);山西能源学院自然科学重点项目(ZZ⁃2018003).

摘　　要：五阶非线性薛定谔方程描述了阿秒脉冲在光学系统中的传播,借助于数学软件Maple,利用扩展的辅助方程方法最终得到了此方程4种类型有理形式的周期解.This paper studies a fifth⁃order nonlinear Schrodinger equation,which describes the propagation of attosecond pulses in optical systems.With the aid of the mathematical software Maple and the extended auxiliary equation method,the periodic solutions of four types of rational forms of this equation are finally obtained.

关 键 词：非线性光学 五阶非线性Schrödinger方程 辅助方程展开方法 MAPLE 有理周期解 

分 类 号：O175.24[理学—数学]