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›› 2003, Vol. 20 ›› Issue (2): 160-167.DOI: 10.7523/j.issn.2095-6134.2003.2.005

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

Zhao Pingfu1, Qin Mengzhao2   

  1. 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:2002-04-10 Revised:2002-06-17 Online: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)

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.

Key words: multisymplectic geometry, variational PDEs, characteristics of the vector fields

CLC Number: