An algorithmic method in Painleve analysis of PDE

doi:10.1016/S0010-4655(03)00343-6

CSpace

	An algorithmic method in Painleve analysis of PDE
	Xie, FD ; Yong, C
	2003-08-15
发表期刊	COMPUTER PHYSICS COMMUNICATIONS
ISSN	0010-4655
卷号	154 期号:3 页码:197-204
摘要	In this paper, a new algorithm is presented to decide whether the partial differential algebraic equation possesses Painleve property or not. Under the situation of not getting recursion relations, all resonance points are found. The symbolic computation is employed in all process. As a power tool, Wu-Ritt elimination method plays a important role in the process of testing the compatibility of resonance equations. The algorithm improves on the WTC method on the aspect of the computation. (C) 2003 Elsevier B.V. All rights reserved.
关键词	Painleve property symbolic computation Wu-Ritt elimination method
DOI	10.1016/S0010-4655(03)00343-6
语种	英语
WOS研究方向	Computer Science ; Physics
WOS类目	Computer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS记录号	WOS:000185058500002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/18566
专题	中国科学院数学与系统科学研究院
通讯作者	Xie, FD
作者单位	1.Liaoning Normal Univ, Inst Comp & Informat Technol, Dalian 116029, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Dalian Univ Technol, Dept Appl Math, Dalian 116024, Peoples R China 4.Chinese Acad Sci, MM Key Lab, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Xie, FD,Yong, C. An algorithmic method in Painleve analysis of PDE[J]. COMPUTER PHYSICS COMMUNICATIONS,2003,154(3):197-204.
APA	Xie, FD,&Yong, C.(2003).An algorithmic method in Painleve analysis of PDE.COMPUTER PHYSICS COMMUNICATIONS,154(3),197-204.
MLA	Xie, FD,et al."An algorithmic method in Painleve analysis of PDE".COMPUTER PHYSICS COMMUNICATIONS 154.3(2003):197-204.