含高阶非线性效应的薛定谔方程的精确解研究  

The Exact Wave Solutions of Higher-order Nonlinear Schr dinger Equation

作　　者：马松华[1] 朱加民[1] 

机构地区：[1]浙江丽水学院物理系,浙江丽水323000

出　　处：《量子光学学报》2006年第3期156-158,共3页Journal of Quantum Optics

基　　金：国家自然科学基金(批准号:10172056)

摘　　要：利用孤子理论,研究了含三次和五次非线性项的非线性薛定谔方程,在参数取不同值时得到了方程的新型亮孤子解、新型暗孤子解和新的三角函数周期解。The aim of this article is to seek new solutions of the higher-order nonlinear Schr^dinger equation. By using the solitary theory, the exact solutions of the higher-order nonlinear Schroedinger equation are obtained. When the parametric have different, the new bright solitary wave solutions, new dark solitary wave solutions and triangular periodic solutions are founded. These solutions are found for the first time.

关 键 词：高阶非线性薛定谔方程 亮孤子解 暗孤子解 

分 类 号：O431[机械工程—光学工程]