[SADE] a Maple package for the symmetry analysis of differential equations

Published: 01-02-2011| Version 1 | DOI: 10.17632/5g72zmhjnn.1
Tarcísio M. Rocha Filho,
Annibal Figueiredo


Abstract We present the package SADE (Symmetry Analysis of Differential Equations) for the determination of symmetries and related properties of systems of differential equations. The main methods implemented are: Lie, nonclassical, Lie–Bäcklund and potential symmetries, invariant solutions, first-integrals, Nöther theorem for both discrete and continuous systems, solution of ordinary differential equations, order and dimension reductions using Lie symmetries, classification of differential equations,... Title of program: SADE Catalogue Id: AEHL_v1_0 Nature of problem Determination of analytical properties of systems of differential equations, including symmetry transformations, analytical solutions and conservation laws. Versions of this program held in the CPC repository in Mendeley Data AEHL_v1_0; SADE; 10.1016/j.cpc.2010.09.021 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)