| 具有波动算子的非线性Schr(o)dinger方程的多辛格式及其守恒律 |
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| 引用本文： | 郑小红,张慧,王立娟. 具有波动算子的非线性Schr(o)dinger方程的多辛格式及其守恒律[J]. 宜春学院学报, 2005, 27(6): 23-26 |
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| 作者姓名： | 郑小红 张慧 王立娟 |
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| 作者单位： | 嘉兴学院数学与信息科学学院,浙江,嘉兴,314001 |
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| 摘 要： | 本文所讨论的具有波动算子的非线性Schroedinger方程的具有多辛结构，从而把它写成Hamilton正则方程组的形式，导出其多辛守恒律及多辛格式．用隐式中点公式离散多辛方程组得到多辛Preissman积分．它的多辛格式具有离散多辛守恒律。我们用数值实验验证了理论分析的正确性．
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| 关 键 词： | 波动算子 守恒律 Preissman积分 |
| 文章编号： | 1671-380X（2005）06-0023-04 |
| 收稿时间： | 2005-09-07 |
| 修稿时间： | 2005-09-07 |
Muti- symplectic Scheme and Conservation Laws of Nonlinear Schr(o)dinger Equation with Wave Operator |
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| ZHENG Xiao- hong, et al. Muti- symplectic Scheme and Conservation Laws of Nonlinear Schr(o)dinger Equation with Wave Operator[J]. Journal of Yichun University, 2005, 27(6): 23-26 |
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| Authors: | ZHENG Xiao- hong et al |
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| Affiliation: | College of Mathematics and Information Science of University, Jiaxing , 314001 China |
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| Abstract: | Nonlinear Schroedinger equation with wave operator has multi- symplectic structure, we turn it into mulit- symplectic Hamihonian formulations. We find its multi - symplectic conservation laws and multi - symplectic scheme. We get the Preissman multi - symptectic integrator via implicit midpoint rule. Its multi - symplectie scheme possess discrete multi - symplectic law. Numerical experiments suggest the correction of the theoretic analysis. |
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| Keywords: | Wave Operator Conservation Law Preissman Integrator |
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