A REDUCE package for finding conserved densities of systems of implicit difference–difference equations

Abstract
A computer algebra program for finding polynomial conserved densities of implicit difference–difference equations is presented. The algorithm is based on scaling properties and implemented in computer algebra system REDUCE. The package is applicable to systems of any number of nonlinear difference–difference equations of polynomial type.

Title of program: TXCD
Catalogue Id: ADTS_v1_0

Nature of problem
The existence of conserved densities for difference-difference equations is of interest for their classification and for understanding the stability of their solutions.

Versions of this program held in the CPC repository in Mendeley Data
ADTS_v1_0; TXCD; 10.1016/j.cpc.2003.12.006

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)