## Demonstration of the REDUCE Package ConLaw for Investigating Conservation Laws of Partial Differential Equations and First Integrals of Ordinary Differential Equations
## AuthorsConLaw: Thomas Wolf ## PurposeThe ConLaw package attempts to compute first integrals for single ordinary differential equations (ODEs) or systems of ODEs, and conservation laws for single partial differential equations (PDEs) or systems of PDEs. ## AvailabilityThe latest version of ConLaw together with CRACK which is also needed is available from http://lie.math.brocku.ca/crack/src/, for example, in form of a single tar.gz file. ## DocumentationA 5-page manual for ConLaw is available in
tex,
dvi,
ps,
pdf format as well as
a more detailed description with emphasis on some of the computer algebra algorithms
[dvi,
ps,
pdf]
(J. Symb. Comp. ## BackgroundThe ConLaw package tries to find conservation laws for a given differential equation (ODE or PDE) or system of ODEs or PDEs of the form
ConLaw comes in four versions: ConLaw1 tries to find the conserved current
ConLaw3 tries to find
x, u^{b}, ...,
u^{b}_{K}, ... .
Applying the Euler operator (variational derivative) for each
ConLaw2 does substitutions based on
(1) before solving these conditions for All four procedures have the same syntax. They have two parameters, both of which are
lists. The first parameter specifies the equations (1), the second specifies the
computation to be done. One can either specify an ansatz for Original design by Francis Wright and Thomas Wolf Maintained by Thomas Wolf [twolf(at)brocku.ca] and Winfried Neun Last updated 23 January 2006 |