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

DOI10.1016/j.cpc.2009.06.013zbMath1197.35009OpenAlexW1999469008MaRDI QIDQ711790

Yin-Ping Liu, Yin-Long Zhao, Zhi-Bin Li

Publication date: 28 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2009.06.013

zbMATH Keywords

nonlinear PDEsPainlevé testPainlevé integrable conditionvariable-coefficientClarkson's methodKruskal simplification

Mathematics Subject Classification ID

Software, source code, etc. for problems pertaining to partial differential equations (35-04) Systems of nonlinear higher-order PDEs (35G50)

Uses Software

• PDEPtest
• PainleveTest
• WKPtest

Cites Work

• Unnamed Item
• A note on the Painlevé test for nonlinear variable-coefficient PDEs
• Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple
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• A perturbative Painlevé approach to nonlinear differential equations
• The Painlevé property. One century later
• Solitons and symmetries
• PDEPtest: a package for the Painlevé test of nonlinear partial differential equations
• The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
• Symbolic Software for the Painlevé Test of Nonlinear Ordinary and Partial Differential Equations
• The Painlevé property for partial differential equations
• A connection between nonlinear evolution equations and ordinary differential equations of P-type. I
• Pseudopotentials, Lax pairs and Backlund transformations for some variable coefficient nonlinear equations
• The Painlevé-Kowalevski and Poly-Painlevé Tests for Integrability
• Line soliton interactions of a nonisospectral and variable-coefficient Kadomtsev–Petviashvili equation
• Painlevé analysis of the damped, driven nonlinear Schrödinger equation

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