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

^*此作品的通讯作者

数学科学学院

Shanghai University

科研成果: 期刊稿件 › 会议文章 › 同行评审

6 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	179-190
页数	12
期刊	Lecture Notes in Computer Science
卷	3519
DOI	https://doi.org/10.1007/11499251_15
出版状态	已出版 - 2005
活动	6th International Workshop, IWMM 2004 and International Workshop, GIAE 2004 - Shanghai, 中国期限: 19 5月 2004 → 28 5月 2004

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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.",

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AU - Xu, Gui Qiong

AU - Li, Zhi Bin

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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.

UR - https://www.scopus.com/pages/publications/25144462123

U2 - 10.1007/11499251_15

DO - 10.1007/11499251_15

M3 - 会议文章

AN - SCOPUS:25144462123

SN - 0302-9743

VL - 3519

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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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