带有高阶色散效应的非线性薛定谔方程的新周期解  

New Periodic Solutions for the Higherorder Dispersive Nonlinear Schr?dingerequation

作　　者：王媛 

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）》2016年第3期12-15,共4页Journal of Taiyuan Normal University:Natural Science Edition

摘　　要：对非线性演化方程精确解的研究在非线性物理现象中起着非常重要的作用,利用雅可比椭圆方程方法以及符号计算系统Maple,研究带有高阶色散效应以及包含三次-五次非线性的薛定谔方程.在一定的参数条件下,得到此方程9个椭圆函数解.这些椭圆函数解运用已有的方法是没有得到过的,并且这些解对于解释相应的物理现象是非常有用的.The investigation of the exact travelling wave solutions to nonlinear evolution equations plays an important role in the study of nonlinear physical phenomena. To Study the higher order dispersive cubic-quintic nonlinear Schrodinger equation. By means of the elliptic equation method and symbolic computation systems Maple, to obtain nine types of elliptic function solutions to the equation under certain parametric conditions. These new elliptic function solutions of rational forms are derived that are not obtained by the previously known methods, these solutions be useful to explain some physical phenomena.

关 键 词：光孤子 光纤孤子方程 椭圆方程 周期孤立波解 

分 类 号：O175.24[理学—数学]