| 3次Schrdinger方程的数值与近似分析 |
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| 引用本文： | 国忠金,高建.3次Schrdinger方程的数值与近似分析[J].宜春学院学报,2007(2). |
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| 作者姓名： | 国忠金 高建 |
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| 作者单位： | 泰山学院数学与系统科学系 山东泰安271021(国忠金)，宜春学院数学与计算机学院 江西宜春336000(高建) |
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| 基金项目： | 泰山学院科研资助立项项目(Y06-02-03) |
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| 摘 要： | 首先,利用变换将Schrdinger化为了一实系统,通过数值方法分析了其不动点与混沌性质.然后,提出了一种求解Schrdinger稳定状态解的新方法即遗传牛顿法.并利用此方法求解Schrdinger方程稳定状态下的调和平衡解.研究了其频率响应曲线与近似解的性质.
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| 关 键 词： | 非线性Schrdinger方程 调和平衡法 遗传牛顿法 混沌 |
Numerical and approximate analysis of cubic nonlinear Schrdinger equation |
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| GUO Zhong-jin,GAO Jian.Numerical and approximate analysis of cubic nonlinear Schrdinger equation[J].Journal of Yichun University,2007(2). |
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| Authors: | GUO Zhong-jin GAO Jian |
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| Institution: | GUO Zhong-jin1,GAO Jian2 |
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| Abstract: | First,Schrdinger equation is changed into a real system by using a transform and to analyze its fixed points and chaos by the numerical method.Second,a new method that solving the steady state solutions,ie:Genetic Newton algorithm is introduced.One solves the harmonic balance solutions of Schrdinger equation by using this algorithm and studies its frequency response curves and character of approximation solutions. |
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| Keywords: | Nonlinear Schrdinger equation Harmonic balance method GA-N Chaos |
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