An algorithmic method in Painleve analysis of PDE
文献类型：期刊论文
| 作者 | Xie, FD; Yong, C |
| 刊名 | COMPUTER PHYSICS COMMUNICATIONS
 |
| 出版日期 | 2003-08-15 |
| 卷号 | 154期号:3页码:197-204 |
| 关键词 | Painleve property symbolic computation Wu-Ritt elimination method |
| ISSN号 | 0010-4655 |
| DOI | 10.1016/S0010-4655(03)00343-6 |
| 英文摘要 | 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. |
| WOS研究方向 | Computer Science ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000185058500002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/18565]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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