Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 161, Issue 1-2, Pages 65-75Publisher
ELSEVIER
DOI: 10.1016/j.cpc.2004.04.005
Keywords
nonlinear partial differential equations; Painleve test; truncated expansion; symbolic computation
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A software package wkptest written in Maple is presented, which can carry out the traditional Painleve 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.
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