A Maple Package for the Painlevé Test of Nonlinear Partial Differential Equations

Chin. Phys. Lett.

2003, Vol. 20

Issue (7): 975-978 DOI:

Original Articles

A Maple Package for the Painlevé Test of Nonlinear Partial Differential Equations

XU Gui-Qiong^1,2;LI Zhi-Bin¹

¹Department of Computer Science, East China Normal University, Shanghai 200062 ²Department of Information Administration, Shanghai University, Shanghai 200436

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XU Gui-Qiong, LI Zhi-Bin 2003 Chin. Phys. Lett. 20 975-978

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Abstract A Maple package, named PLtest, is presented to study whether or not nonlinear partial differential equations (PDEs) pass the Painlevé test. This package is based on the so-called WTC-Kruskal algorithm, which combines the standard WTC algorithm and the Kruskal simplification algorithm. Therefore, we not only study whether the given PDEs pass the test or not, but also obtain its truncated expansion form related to some integrability properties. Several well-known nonlinear models with physical interests illustrate the effectiveness of this package.

Keywords: 02.30.Ik 02.30.Jr

Published: 01 July 2003

PACS:	02.30.Ik	(Integrable systems)
	02.30.Jr	(Partial differential equations)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I7/0975

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