节点文献
求解非线性薛定谔方程的简便方法
A simple method for solving nonlinear Schrdinger equation
【摘要】 通过引入变换和选准试探函数,把难于求解的非线性偏微分方程化为易于求解的代数方程,然后用待定系数法确定相应的常数,从而简洁地求得了非线性薛定谔方程的解析解.
【Abstract】 By introducing transformation and selecting appropriate trial functions,the nonlinear partial differential equation that is hard to be solved by the usual way is reduced to a set of algebraic equations,which can be easily solved,and their related coefficients can be easily determined by the undetermined coefficient method.Finally,the analytical solutions to nonlinear Schrdinger equation are successfully derived.
【关键词】 试探函数方法;
非线性薛定谔方程;
解析解;
【Key words】 trial function method; nonlinear Schrdinger equation; analytical Solution;
【Key words】 trial function method; nonlinear Schrdinger equation; analytical Solution;
【基金】 甘肃省自然科学基金(0916RJZA047);兰州交通大学“青蓝”人才工程(QL-06-22A)资助项目
- 【文献出处】 大学物理 ,College Physics , 编辑部邮箱 ,2010年03期
- 【分类号】O411;O175.29
- 【被引频次】9
- 【下载频次】840