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| 广义五阶KdV方程的Hamilton对称性与局部守恒律 | |
| 引用本文： | 韩松梅,邓子辰,胡伟鹏,张素英. 广义五阶KdV方程的Hamilton对称性与局部守恒律[J]. 西北工业大学学报, 2011, 29(4): 594-597 |
| 作者姓名： | 韩松梅 邓子辰 胡伟鹏 张素英 |
| 作者单位： | 1. 西北工业大学力学与土木建筑学院,陕西西安,710072 2. 西北工业大学力学与土木建筑学院,陕西西安710072;大连理工大学工业装备结构分析国家重点实验室,辽宁大连116023 3. 西北工业大学力学与土木建筑学院,陕西西安710072;上海交通大学机械系统与振动国家重点实验室,上海200240 4. 山西大学理论物理研究所,山西太原,030006 |
| 基金项目： | 国家自然科学基金(10972182、11002115和10972125); 111引智计划(B07050); 航空科学基金(2010ZB53021); 西北工业大学基础研究基金(JC200938); 高校博士点基金(20106102110019); 机械系统与振动国家重点实验室开放课题(MSV-2011-21); 大连理工大学工业装备结构分析国家重点实验室开放基金(GZ0802)资助 |
| 摘 要： | 基于Hamilton空间体系下的多辛降阶理论构造了广义五阶KdV方程的一阶对称形式,随后证明了该对称形式是多辛的,最后应用多辛理论研究了广义五阶KdV方程的多种局部守恒律,为高阶发展方程的固有几何性质研究提供了新的途径。 |
| 关 键 词： | 广义五阶KdV方程 局部守恒律 对称性 |
Exploring Symmetry and Local Conservation Laws of Generalized Fifth Order KdV Equation |
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| Han Songmei,Deng Zichen,Hu Weipeng,Zhang Suying. Exploring Symmetry and Local Conservation Laws of Generalized Fifth Order KdV Equation[J]. Journal of Northwestern Polytechnical University, 2011, 29(4): 594-597 | |
| Authors: | Han Songmei Deng Zichen Hu Weipeng Zhang Suying |
| Affiliation: | 1.Department of Engineering Mechanics,Northwestern Polytechnincal University,Xi′an 710072,China 2.State Key Laboratory of Structural Analysis of Industrial Equipment,Dalian University of Technology,Dalian 116023,China 3.State Key Laboratory of Mechanical System & Vibration,Shanghai Jiao Tong University,Shanghai 200240,China 4.Institute of Theoretical Physics,Shanxi University,Taiyuan 030006,China |
| Abstract: | Aim.Many special properties of the evolution equations are derived from their symmetry as well as from their local conservation laws.We now utilize the developing theory of multi-symplecticity to study the inner properties of the generalized fifth order KdV equation.Sections 1 and 2 of the full paper explain our explorative research in some detail.In addition to briefing past research,the core of section 1 is that we derive eq.(9) as the first order symmetric form for the generalized fifth order KdV equatio... |
| Keywords: | energy conservation geometry generalized fifth order KdV equation symmetry |
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