广义非线性薛定谔方程解的构建OA北大核心CSTPCD
Construction of Solutions of Generalized Nonlinear Schrödinger Equation
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.
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.
肖思宇;孙峪怀;韩梦娜;黄宣聪
四川师范大学 数学科学学院,四川 成都 610066
数学
广义非线性薛定谔方程(G′/G2)展开法精确解
generalized nonlinear Schrödinger equation(G′/G2)-expansion methodexact solution
《山西大学学报（自然科学版）》 2024 (003)
547-554 / 8
国家自然科学基金(12071323)
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