A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs

Yin Long Zhao; Yin Ping Liu; Zhi Bin Li

doi:10.1016/j.cpc.2009.06.013

A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs

Yin Long Zhao, Yin Ping Liu, Zhi Bin Li

School of Mathematical Sciences

East China Normal University

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

1 Scopus citations

Abstract

A modified WTC algorithm for the Painlevé test of nonlinear PDEs with variable coefficients is proposed. Compared to the Kruskal's simplification algorithm, the modified algorithm further simplifies the computation in the third step of the Painlevé test for variable-coefficient PDEs to some extent. Two examples illustrate the proposed modified algorithm.

Original language	English
Pages (from-to)	2123-2128
Number of pages	6
Journal	Computer Physics Communications
Volume	180
Issue number	11
DOIs	https://doi.org/10.1016/j.cpc.2009.06.013
State	Published - Nov 2009

Keywords

Clarkson's method
Kruskal simplification
Nonlinear PDEs
Painlevé integrable condition
Painlevé test
Variable-coefficient

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10.1016/j.cpc.2009.06.013

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title = "A modified WTC algorithm for the Painlev{\'e} test of nonlinear variable-coefficient PDEs",

abstract = "A modified WTC algorithm for the Painlev{\'e} test of nonlinear PDEs with variable coefficients is proposed. Compared to the Kruskal's simplification algorithm, the modified algorithm further simplifies the computation in the third step of the Painlev{\'e} test for variable-coefficient PDEs to some extent. Two examples illustrate the proposed modified algorithm.",

keywords = "Clarkson's method, Kruskal simplification, Nonlinear PDEs, Painlev{\'e} integrable condition, Painlev{\'e} test, Variable-coefficient",

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year = "2009",

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AU - Liu, Yin Ping

AU - Li, Zhi Bin

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N2 - A modified WTC algorithm for the Painlevé test of nonlinear PDEs with variable coefficients is proposed. Compared to the Kruskal's simplification algorithm, the modified algorithm further simplifies the computation in the third step of the Painlevé test for variable-coefficient PDEs to some extent. Two examples illustrate the proposed modified algorithm.

AB - A modified WTC algorithm for the Painlevé test of nonlinear PDEs with variable coefficients is proposed. Compared to the Kruskal's simplification algorithm, the modified algorithm further simplifies the computation in the third step of the Painlevé test for variable-coefficient PDEs to some extent. Two examples illustrate the proposed modified algorithm.

KW - Clarkson's method

KW - Kruskal simplification

KW - Nonlinear PDEs

KW - Painlevé integrable condition

KW - Painlevé test

KW - Variable-coefficient

UR - https://www.scopus.com/pages/publications/70149118144

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DO - 10.1016/j.cpc.2009.06.013

M3 - 文章

AN - SCOPUS:70149118144

SN - 0010-4655

VL - 180

SP - 2123

EP - 2128

JO - Computer Physics Communications

JF - Computer Physics Communications

IS - 11

ER -

A modified WTC algorithm for the Painlevé test of nonlinear variable-coefficient PDEs

Abstract

Keywords

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