An algorithmic method in Painleve analysis of PDE

Fuding Xie; Yong Chen

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

An algorithmic method in Painleve analysis of PDE

Fuding Xie^*
, Yong Chen

^*此作品的通讯作者

Liaoning Normal University
CAS - Academy of Mathematics and System Sciences
Dalian University of Technology
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

8 引用（Scopus）

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.

源语言	英语
页（从-至）	197-204
页数	8
期刊	Computer Physics Communications
卷	154
期	3
DOI	https://doi.org/10.1016/S0010-4655(03)00343-6
出版状态	已出版 - 15 8月 2003
已对外发布	是

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abstract = "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.",

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AB - 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.

KW - Painleve property

KW - Symbolic computation

KW - Wu-Ritt elimination method

UR - https://www.scopus.com/pages/publications/0042229057

U2 - 10.1016/S0010-4655(03)00343-6

DO - 10.1016/S0010-4655(03)00343-6

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An algorithmic method in Painleve analysis of PDE

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