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联系向量场特征的变分方程多辛几何方法(英文)

  • 赵平福 ,
  • 秦孟兆
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  • 1. 中国科学院大气物理研究所大气边界层物理和大气化学国家重点实验室, 北京 100029;
    2. 中国科学院数学与系统科学研究院计算数学所, 北京 100080
赵平福,E-mail:pfuzhao@sina.com

收稿日期: 2002-04-10

  修回日期: 2002-06-17

  网络出版日期: 2003-03-10

Multisymplectic Geometrical Approach for the Variational PDEs Connected with the Characteristics of the Vector Fields

  • Zhao Pingfu ,
  • Qin Mengzhao
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  • 1. State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China;
    2. Institute of Computational Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, China

Received date: 2002-04-10

  Revised date: 2002-06-17

  Online published: 2003-03-10

Supported by

supported by the National Nature Science Foundation of China (49975008)and by the Special Funds for Major State Basic Research Projects (G 1999,032800)

摘要

联系向量场的特征考虑了变分方程的多辛几何方法,分析了由多辛公式诱导出的守恒律,研究由变分对称得出的守恒律时,给出了这些守恒律的特征.

本文引用格式

赵平福 , 秦孟兆 . 联系向量场特征的变分方程多辛几何方法(英文)[J]. 中国科学院大学学报, 2003 , 20(2) : 160 -167 . DOI: 10.7523/j.issn.2095-6134.2003.2.005

Abstract

Connecting the characteristics of the vector fields we consider the multisymplectic geometrical approach for the variational PDEs. We analyze the conservation laws induced by the multisymplectic form formula and give the characteristics of these conservation laws when variational symmetries are taken into account.

参考文献

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