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

Published: 15 June 2004| Version 1 | DOI: 10.17632/kdmgf323hy.1
Min Gao, Yasuyuki Kato, Masaaki Ito


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)



Computational Physics, Computer Algebra System