量子光学学报, 2006, 12 (3): 0156, 网络出版: 2010-06-03
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
高阶非线性薛定谔方程 亮孤子解 暗孤子解 higher-order nonlinear Schr?dinger equation bright solitary wave dark solitary wave
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。
Abstract
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 Schr?dinger 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.
马松华, 朱加民. 含高阶非线性效应的薛定谔方程的精确解研究[J]. 量子光学学报, 2006, 12(3): 0156. MA Song-hua, ZHU Jia-min. The Exact Wave Solutions of Higher-order Nonlinear Schr dinger Equation[J]. Acta Sinica Quantum Optica, 2006, 12(3): 0156.
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