Program Name:
Purpose:
Finding the determining equations needed to compute the symmetry group
of a given system of differential equations
Language:
MACSYMA release 412, compatible with REX MACSYMA 305 and MACSYMA 309
Last Updated Version:
Authors:
B. Champagne and P. Winternitz, Centre de Recherches Mathematiques,
Universite de Montreal, Montreal, Quebec, Canada
W. Hereman, Department of Mathematical and Computer Sciences Colorado
School of Mines, Golden, CO 80401, USA
The original program designed by Benoit Champagne in 1985 has been modified
to make it possible to find the Lie point symmetries for large systems
of differential equations involving e.g. 10 independent variables and 10
dependent variables.
So far, the program calculates the system of determining equations for
the unknown coefficients of the vector field. It does not solve this system
of linear homogeneous equations automatically, however, a feedback mechanism
allows to drastically simplify these calculations.
To go to the FTP site where the program and all the other necessary files
are available, please click here.
To see the abstracts of the papers related with the software, please click
here.
Willy Hereman
12/16/99