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)

程序摘要：本文提出一款用于求解隐式差分-差分方程多项式守恒密度的计算机代数程序。该算法基于标度性质，在计算机代数系统REDUCE中实现。本程序包可适用于任意数量的多项式型非线性差分-差分方程系统。
程序名称：TXCD
目录编号：ADTS_v1_0
问题本质：差分-差分方程的守恒密度存在性，对其分类以及解的稳定性研究具有重要价值。
孟德莱数据（Mendeley Data）中的CPC程序库存储的本程序版本：ADTS_v1_0; TXCD; 10.1016/j.cpc.2003.12.006
本程序源自贝尔法斯特女王大学所持有的CPC程序库（1969-2018）