Computer Physics Communications Program Library

Programs in Physics & Physical Chemistry

PROGRAM SUMMARY

Manuscript Title: Symbolic computation of the Painlevé test for nonlinear partial differential equations using Maple.
Authors: G.-Q. Xu, Z.-B. Li.
Program title: wkptest
Catalogue identifier: ADTY
Journal reference: Comput. Phys. Commun. 161(2004)65
Programming language: Maple V R6 or more.
Computer: PC Pentium IV.
Operating system: Windows 98/2000/XP.
RAM: This depends on the problem, minimum about 8M byte.
Keywords: Nonlinear partial differential equations, Painlevé test, Truncated expansion, Symbolic computation.
PACS: 02.30.Ik, 02.30.Jr.
Classification: 5.
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.
Restrictions: The program can handle coupled nonlinear partial differential equations, in which every equation is a polynomial (or can be converted to a polynomial) in the unknown functions and their derivatives.
Running time: It depends on the input equations, numbers of possible branches and the value of the largest resonance. For most of the nonlinear partial differential equations which we have tested, the running time is no more than 10 seconds.