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An algorithmic method in Painleve analysis of PDE
Xie, FD; Yong, C
2003-08-15
Source PublicationCOMPUTER PHYSICS COMMUNICATIONS
ISSN0010-4655
Volume154Issue:3Pages:197-204
AbstractIn 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.
KeywordPainleve property symbolic computation Wu-Ritt elimination method
DOI10.1016/S0010-4655(03)00343-6
Language英语
WOS Research AreaComputer Science ; Physics
WOS SubjectComputer Science, Interdisciplinary Applications ; Physics, Mathematical
WOS IDWOS:000185058500002
PublisherELSEVIER SCIENCE BV
Citation statistics
Cited Times:7[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18566
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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