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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

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.

Original language	English
Pages (from-to)	197-204
Number of pages	8
Journal	Computer Physics Communications
Volume	154
Issue number	3
DOIs	https://doi.org/10.1016/S0010-4655(03)00343-6
State	Published - 15 Aug 2003
Externally published	Yes

Keywords

Painleve property
Symbolic computation
Wu-Ritt elimination method

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10.1016/S0010-4655(03)00343-6

Cite this

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title = "An algorithmic method in Painleve analysis of PDE",

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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AU - Chen, Yong

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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

M3 - 文章

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VL - 154

SP - 197

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JO - Computer Physics Communications

JF - Computer Physics Communications

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ER -

An algorithmic method in Painleve analysis of PDE

Abstract

Keywords

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