PDEPtest: A package for the Painlevé test of nonlinear partial differential equations

Gui Qiong Xu; Zhi Bin Li

doi:10.1016/j.amc.2004.10.055

PDEPtest: A package for the Painlevé test of nonlinear partial differential equations

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 › 文章 › 同行评审

16 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 method and Kruskal's simplification method. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. This package can handle nonlinear partial differential equations which can be transformed to polynomial ones, and its effectiveness is illustrated by applying it to a variety of equations. Some new results are reported.

源语言	英语
页（从-至）	1364-1379
页数	16
期刊	Applied Mathematics and Computation
卷	169
期	2
DOI	https://doi.org/10.1016/j.amc.2004.10.055
出版状态	已出版 - 15 10月 2005

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@article{cd5a76137c5346c191142eafda4862ab,

title = "PDEPtest: A package for the Painlev{\'e} test of nonlinear partial differential equations",

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 method and Kruskal's simplification method. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. This package can handle nonlinear partial differential equations which can be transformed to polynomial ones, and its effectiveness is illustrated by applying it to a variety of equations. Some new results are reported.",

keywords = "Kruskal's simplification, Nonlinear partial differential equations, Painlev{\'e} test, Symbolic computation, The WTC method",

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

year = "2005",

month = oct,

day = "15",

doi = "10.1016/j.amc.2004.10.055",

language = "英语",

volume = "169",

pages = "1364--1379",

journal = "Applied Mathematics and Computation",

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T1 - PDEPtest

T2 - A package for the Painlevé test of nonlinear partial differential equations

AU - Xu, Gui Qiong

AU - Li, Zhi Bin

PY - 2005/10/15

Y1 - 2005/10/15

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 method and Kruskal's simplification method. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. This package can handle nonlinear partial differential equations which can be transformed to polynomial ones, and its effectiveness is illustrated by applying it to a variety of equations. 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 method and Kruskal's simplification method. Based on the WTC, Kruskal and WTC-Kruskal algorithms, we give an implementation in Maple called PDEPtest. This package can handle nonlinear partial differential equations which can be transformed to polynomial ones, and its effectiveness is illustrated by applying it to a variety of equations. Some new results are reported.

KW - Kruskal's simplification

KW - Nonlinear partial differential equations

KW - Painlevé test

KW - Symbolic computation

KW - The WTC method

UR - https://www.scopus.com/pages/publications/25844433033

U2 - 10.1016/j.amc.2004.10.055

DO - 10.1016/j.amc.2004.10.055

M3 - 文章

AN - SCOPUS:25844433033

SN - 0096-3003

VL - 169

SP - 1364

EP - 1379

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 2

ER -

PDEPtest: A package for the Painlevé test of nonlinear partial differential equations

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