Involutive characteristic sets of algebraic partial differential equation systems

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	Involutive characteristic sets of algebraic partial differential equation systems
	Chen, YF ; Gao, XS
	2003-07-01
发表期刊	SCIENCE IN CHINA SERIES A-MATHEMATICS
ISSN	1006-9283
卷号	46 期号:4 页码:469-487
摘要	This paper presents an algorithm to reduce a nonlinear algebraic partial differential equation system into the involutive characteristic set with respect to an abstract involutive prolongation direction, which covers the existing algorithms based on Riquier method, Thomas method, and Pommaret method. it also provides new algorithms for computing involutive characteristic sets due to the existence of new involutive directions. Experiments show that these new algorithms may be used to significantly reduce the computational steps in Wu-Ritt's characteristic set method for algebraic partial differential equations.
关键词	involutive characteristic set integrability conditions algebraic partial differential equation system Wu-Ritt's characteristic set method
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000183667900005
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18828
专题	中国科学院数学与系统科学研究院
通讯作者	Chen, YF
作者单位	1.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, AMSS, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Chen, YF,Gao, XS. Involutive characteristic sets of algebraic partial differential equation systems[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2003,46(4):469-487.
APA	Chen, YF,&Gao, XS.(2003).Involutive characteristic sets of algebraic partial differential equation systems.SCIENCE IN CHINA SERIES A-MATHEMATICS,46(4),469-487.
MLA	Chen, YF,et al."Involutive characteristic sets of algebraic partial differential equation systems".SCIENCE IN CHINA SERIES A-MATHEMATICS 46.4(2003):469-487.