The Painlevé test of nonlinear partial differential equations and its implementation using Maple

Gui Qiong Xu; Zhi Bin Li

doi:10.1007/11499251_15

The Painlevé test of nonlinear partial differential equations and its implementation using Maple

Gui Qiong Xu, Zhi Bin Li

School of Mathematical Sciences

Shanghai University

Research output: Contribution to journal › Conference article › peer-review

6 Scopus citations

Abstract

The so-called WTC-Kruskal algorithm is presented in order to study the Painlevé integrability of nonlinear partial differential equations, which combines the WTC algorithm and Kruskal's simplification algorithm. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. The applications of PDEPtest to several nonlinear partial differential equations are also presented and some new results are reported.

Original language	English
Pages (from-to)	179-190
Number of pages	12
Journal	Lecture Notes in Computer Science
Volume	3519
DOIs	https://doi.org/10.1007/11499251_15
State	Published - 2005
Event	6th International Workshop, IWMM 2004 and International Workshop, GIAE 2004 - Shanghai, China Duration: 19 May 2004 → 28 May 2004

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10.1007/11499251_15

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title = "The Painlev{\'e} test of nonlinear partial differential equations and its implementation using Maple",

abstract = "The so-called WTC-Kruskal algorithm is presented in order to study the Painlev{\'e} integrability of nonlinear partial differential equations, which combines the WTC algorithm and Kruskal's simplification algorithm. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. The applications of PDEPtest to several nonlinear partial differential equations are also presented and some new results are reported.",

author = "Xu, \{Gui Qiong\} and Li, \{Zhi Bin\}",

year = "2005",

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journal = "Lecture Notes in Computer Science",

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note = "6th International Workshop, IWMM 2004 and International Workshop, GIAE 2004 ; Conference date: 19-05-2004 Through 28-05-2004",

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AU - Xu, Gui Qiong

AU - Li, Zhi Bin

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Y1 - 2005

N2 - The so-called WTC-Kruskal algorithm is presented in order to study the Painlevé integrability of nonlinear partial differential equations, which combines the WTC algorithm and Kruskal's simplification algorithm. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. The applications of PDEPtest to several nonlinear partial differential equations are also presented and some new results are reported.

AB - The so-called WTC-Kruskal algorithm is presented in order to study the Painlevé integrability of nonlinear partial differential equations, which combines the WTC algorithm and Kruskal's simplification algorithm. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. The applications of PDEPtest to several nonlinear partial differential equations are also presented and some new results are reported.

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U2 - 10.1007/11499251_15

DO - 10.1007/11499251_15

M3 - 会议文章

AN - SCOPUS:25144462123

SN - 0302-9743

VL - 3519

SP - 179

EP - 190

JO - Lecture Notes in Computer Science

JF - Lecture Notes in Computer Science

T2 - 6th International Workshop, IWMM 2004 and International Workshop, GIAE 2004

Y2 - 19 May 2004 through 28 May 2004

ER -

The Painlevé test of nonlinear partial differential equations and its implementation using Maple

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