广义非线性薛定谔方程解的构建
Construction of Solutions of Generalized Nonlinear Schr?dinger Equation
肖思宇 1孙峪怀 1韩梦娜 1黄宣聪1
作者信息
- 1. 四川师范大学 数学科学学院,四川 成都 610066
- 折叠
摘要
对广义非线性薛定谔方程的解进行了构建和研究.首先通过行波变换,将非线性薛定谔方程转化为常微分方程,并得到系统色散关系,再利用(G′/G2)展开法进行解的构造,构造出了广义非线性薛定谔方程的一系列精确解.同时表明所用方法和过程对构造非线性薛定谔方程的精确解具有有效性和适用性.
Abstract
The construction of the solution of the generalized nonlinear Schrödinger equation is analyzed.Firstly,the nonlinear Schrödinger equation is transformed into an ordinary differential equation by traveling wave transformation,and the system disper-sion relation is obtained.Then the solution is constructed by(G′/G2)expansion method,and a series of exact solutions of generalized nonlinear Schrödinger equation are constructed.At the same time,it is proved that the method and procedure are effective and appli-cable to construct the exact solution of nonlinear Schrödinger equation.
关键词
广义非线性薛定谔方程/(G′/G2)展开法/精确解Key words
generalized nonlinear Schrödinger equation/(G′/G2)-expansion method/exact solution引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据