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Applied Mathematics and Mechanics

, Volume 30, Issue 5, pp 595–606 | Cite as

Differential characteristic set algorithm for the complete symmetry classification of partial differential equations

  • Chaolu Temuer (特木尔朝鲁)Email author
  • Yu-shan Bai (白玉山)
Article

Abstract

In this paper, we present a differential polynomial characteristic set algorithm for the complete symmetry classification of partial differential equations (PDEs) with some parameters. It can make the solution to the complete symmetry classification problem for PDEs become direct and systematic. As an illustrative example, the complete potential symmetry classifications of nonlinear and linear wave equations with an arbitrary function parameter are presented. This is a new application of the differential form characteristic set algorithm, i.e., Wu’s method, in differential equations.

Key words

partial differential equations symmetry classification differential characteristic set 

Chinese Library Classification

O152.5 O175.2 

2000 Mathematics Subject Classification

03F03 03F65 35A30 58J70 58J72 

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Copyright information

© Shanghai University and Springer-Verlag GmbH 2009

Authors and Affiliations

  • Chaolu Temuer (特木尔朝鲁)
    • 1
    Email author
  • Yu-shan Bai (白玉山)
    • 2
  1. 1.Department of MathematicsShanghai Maritime UniversityShanghaiP. R. China
  2. 2.College of ScienceInner Mongolia University of TechnologyHohhotP. R. China

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