Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple

Gui Qiong Xu, Zhi Bin Li

Research output: Contribution to journalArticlepeer-review

72 Scopus citations

Abstract

A software package wkptest written in Maple is presented, which can carry out the traditional Painlevé test for polynomial partial differential equations automatically. Furthermore, some truncated expansions are also obtained whether an equation passes the test or not. The truncated expansions play an important role in studying the integrability, such as Lax pairs, bilinear forms, Darboux transformations and explicit solutions. The effectiveness of wkptest is illustrated by applying it to a variety of equations.

Original languageEnglish
Pages (from-to)65-75
Number of pages11
JournalComputer Physics Communications
Volume161
Issue number1-2
DOIs
StatePublished - 1 Aug 2004

Keywords

  • Nonlinear partial differential equations
  • Painlevé test
  • Symbolic computation
  • Truncated expansion

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