| SRLW方程的多辛中点格式 |
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| 引用本文： | 曾文平,孔令华,单双荣.SRLW方程的多辛中点格式[J].厦门大学学报(自然科学版),2006,45(2):168-170. |
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| 作者姓名： | 曾文平 孔令华 单双荣 |
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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： | 国务院侨务办公室科研基金（04QZR09）资助 |
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| 摘 要： | 考虑对称正则长波（SRLW）方程的多辛算法．辛算法是从辛几何观点出发．利用变分原理构造的具有保持原Hamilton系统辛几何结构性质的一种算法．本文利用正则变换．构造正则长波方程的多辛方程组，利用多辛算法离散此多辛方程组，得到一个多辛中点格式，要求所得到的多辛格式满足离散形式的多辛守恒律．并分析了它的线性部分的稳定性．用数值实验验征了所构造的格式具有长时间的数值稳定性，它们还能很好地模拟原孤立波的波形。
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| 关 键 词： | 多辛格式 SRLW方程 Preissman格式 |
| 文章编号： | 0438-0479(2006)02-0168-03 |
| 收稿时间： | 06 20 2005 12:00AM |
| 修稿时间： | 2005年6月20日 |
Multi-symplectic Algorithm of SRLW Equation |
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| ZENG Wen-ping,KONG Ling-hua,SHAN Shuang-rong.Multi-symplectic Algorithm of SRLW Equation[J].Journal of Xiamen University(Natural Science),2006,45(2):168-170. |
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| Authors: | ZENG Wen-ping KONG Ling-hua SHAN Shuang-rong |
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| Affiliation: | Dept. of Math. , Huaqiao University, Quanzhou 362021, China |
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| Abstract: | Some multi-symplecitc schemes for SRLW equation were considered in the paper. Symplectic algorithms set forth sympleetic geometry, It makes use of variation principal and it requests that schemes should maintain symplectic geometric traits of the original Hamiltonian system. Multi-sympleetie equation for SRLW PDES through canonical transformations was constructed. Muhisymplectic equations with muhi-symplectic schemes which must preserve discrete multi-sympleetie conservation law was disereted. A multi-symplectic midpoint scheme for SRLW equation was obtained, Experiments showed that muhi-sympleetic scheme had long time behavior and could preserving original solitary wave shape well. |
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| Keywords: | multi-symplectic scheme SRLW equation Preissman scheme |
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