Math Archives Homepage
Program LIE for Lie analysis of differential equations on IBM type PCs
A. K. Head FRS FAA
Honorary Research Fellow
CSIRO Division of Materials Science and Technology
Melbourne Australia
Postal: Private Bag 33
Clayton South MDC, Australia 3169
Phone: (03) 9544 2861
Fax: (03) 9544 1128
E-mail: head@rivett.mst.csiro.au

Assumptions: You know why you want to use program LIE that finds the Lie group, or rather the Lie algebra, of differential equations, ordinary or partial, single or simultaneous, and you can use the output of this program to find special similarity solutions, conserved quantities, reductions of order etc. For example, you have seen the books "Applications of Lie Groups to Differential Equations" by P. J. Olver ( and the worked examples in Chapters 2 and 3 ) or "Symmetries and Differential Equations" by G. W. Blumen and S. Kumei or the article "Symmetries of Differential Equations: from Sophus Lie to Computer Algebra" by F. Schwarz, SIAM Review, vol 30, Sept 1988, pp450-481. Many of the examples in the DAT files are from these sources. Source code is included.

There is now a companion program BIGLIE51 that can handle problems that are too big for LIE.

(from the documentation)
Download lie51.zip [96 KB].

Download biglie51.zip [62 KB].

Look at the readme file from the program LIE.

Look at the readme file from the program BIGLIE.