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求解非线性薛定谔方程的简便方法

A simple method for solving nonlinear Schrdinger equation

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【作者】 郭鹏陈宗广孙小伟

【Author】 GUO Peng,CHEN Zong-guang,SUN Xiao-wei(School of Mathematics,Physics and Software Engineering,Lanzhou Jiaotong University,Lanzhou,Gansu 730070,China)

【机构】 兰州交通大学数理与软件工程学院

【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 Schrdinger equation are successfully derived.

【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
  • 【分类号】O411;O175.29
  • 【被引频次】9
  • 【下载频次】840
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