| 非线性Pochhammer-Chree方程的多辛Preissmann格式 |
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| 引用本文： | 黄浪扬.非线性Pochhammer-Chree方程的多辛Preissmann格式[J].河南师范大学学报(自然科学版),2005,33(4):13-16. |
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| 作者姓名： | 黄浪扬 |
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| 作者单位： | 华侨大学,数学系,福建,泉州,362021 |
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| 基金项目： | 福建省自然科学基金资助项目(Z0511029) |
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| 摘 要： | 提出非线性Pochhammer-Chree方程的多辛方程组及其守恒律,并通过辛离散多辛方程组得到一个等价于中心Preissmann积分的新的15点多辛格式.数值试验结果表明:本文所给出的多辛格式是有效的,它具有良好的长时间数值行为.
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| 关 键 词： | 非线性Pochhammer-Chree方程 多辛Preissmann格式 守恒律 |
| 文章编号： | 1000-2367(2005)04-0013-04 |
| 收稿时间： | 2004-12-20 |
| 修稿时间： | 2004年12月20 |
Multi-Symplectic Preissmann Scheme for the Nonlinear Pochhammer-Chree Equation |
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| HUANG Lang-yang.Multi-Symplectic Preissmann Scheme for the Nonlinear Pochhammer-Chree Equation[J].Journal of Henan Normal University(Natural Science),2005,33(4):13-16. |
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| Authors: | HUANG Lang-yang |
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| Institution: | Dept. of Math. , Huaqlao Univ. , Quanzhou 362021, China |
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| Abstract: | The multi-symplectic system and conservation law of the nonlinear Pochhammer-Chree equation are presented.By using symplectic discretizations for the multi-symplectic system,a new fifteen-point multi-symplectic scheme which is equivalent to the Preissmann integrator is obtained.The numerical experiments show that the multi-symplectic scheme constructed in this paper is effective,and which has excellent long-time numerical behavior. |
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| Keywords: | nonlinear Pochhammer-Chree equation multi-symplectic preissmann scheme conservation law |
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