华东师范大学学报(自然科学版) ›› 2005, Vol. 2005 ›› Issue (1): 53-58,1.

• 计算机科学 • 上一篇    下一篇

生成微分方程非经典对称决定组的一个软件包(英)

张善卿， 李志斌

  

  1. 华东师范大学 计算机科学系，上海200062
  • 收稿日期:2003-06-16 修回日期:2003-09-17 出版日期:2005-03-25 发布日期:2005-03-25
  • 通讯作者: 张善卿

A Package for Generating the Determining System of Nonclassical Symmetry of Differential Euations(English)

ZHANG Shan-qing， LI Zhi-bin   

  1. Department of Computer Science, East China Normal University, Shanghai 200062, China
  • Received:2003-06-16 Revised:2003-09-17 Online:2005-03-25 Published:2005-03-25
  • Contact: ZHANG Shan-qing

摘要： 给出了计算微分方程非经典对称决定方程组的一个算法.基于此算法，在 Maple系统上给出一个实现：NGDS.并举例说明了此软件包的有效性.

关键词: 微分方程组, 非经典对称, 李群, 符号计算, 微分方程组, 非经典对称, 李群, 符号计算

Abstract: An algorithm for calculating the determining euations associated with non-classical method of symmetry reductions for system of partial differential euations (PDEs) is described.Based on this algorithm, an implementation bf NGDS on Maple for generating the determining euations for Lie non-classical symmetry groups of differential euation(s) is presented, and an example is illustrated the correctness and effectiveness of our package bf NGDS.

Key words: nonclassic symmetry, Lie group, symbolic computation, differential euations, nonclassic symmetry, Lie group, symbolic computation

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