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

Published: 1 August 2004| Version 1 | DOI: 10.17632/nykttmg767.1
Contributors:
Gui-qiong Xu,
Zhi-bin Li

Description

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 v... Title of program: wkptest Catalogue Id: ADTY_v1_0 Nature of problem Our program can perform the traditional Painlevé test for nonlinear partial differential equations automatically, and some truncated expansions are also obtained whether or not the given equations pass the test. The obtained truncated expansions play an important role in studying the integrability as well as constructing explicit exact solutions. Versions of this program held in the CPC repository in Mendeley Data ADTY_v1_0; wkptest; 10.1016/j.cpc.2004.04.005 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

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