山西大学学报（自然科学版）2024，Vol.47Issue(3)：547-554,8.DOI:10.13451/j.sxu.ns.2023085
广义非线性薛定谔方程解的构建
Construction of Solutions of Generalized Nonlinear Schrödinger Equation
摘要
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分类
数理科学引用本文复制引用
肖思宇,孙峪怀,韩梦娜,黄宣聪..广义非线性薛定谔方程解的构建[J].山西大学学报（自然科学版）,2024,47(3):547-554,8.基金项目
国家自然科学基金(12071323) （12071323）
