| 基于Hamilton体系的分离变量法 |
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| 引用本文： | 周建方,李典庆,卓家寿.基于Hamilton体系的分离变量法[J].河海大学学报(自然科学版),2000,28(6):27-31. |
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| 作者姓名： | 周建方 李典庆 卓家寿 |
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| 作者单位： | 1. 河海大学常州校区,江苏,常州,213022
2. 河海大学土木工程学院,江苏,南京,210098 |
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| 摘 要： | 利用Hamilton体系下的分离变量法，对可用传统分离变量法分离变量的一些偏微分议程进行了求解，得到了完全相同的结果，从而说明了Hamilton体系上分离变量法的正确性和潜在能力，为Hamilton体系下分离变量法的广泛应用打下了基础。
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| 关 键 词： | HAmilton体系 分离变量法 偏微分方程 |
| 修稿时间： | 1999-07-29 |
Variable Separation Method Based on Hamilton System |
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| ZHOU Jian fang ,ZHUO Jia shou ,LI Dian qing.Variable Separation Method Based on Hamilton System[J].Journal of Hohai University (Natural Sciences ),2000,28(6):27-31. |
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| Authors: | ZHOU Jian fang ZHUO Jia shou LI Dian qing |
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| Institution: | ZHOU Jian fang 1,ZHUO Jia shou 2,LI Dian qing 1 |
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| Abstract: | A group of partial differential equations are solved by use of the variable separation method in the Hamilton system,and the results are identical with those solved by use of classical methods of separation of variables.It is shown that the variable separation method in the Hamilton system is correct and is of great potential, providing a solid foundation for wide application of the method of variable separation in the Hamilton system. |
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| Keywords: | Hamilton system method of variable separation partial differential equatH |
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