Finding higher symmetries of differential equations using the MAPLE package DESOLVII

Published: 1 April 2012| Version 1 | DOI: 10.17632/tjhxm4p6kb.1
Contributors:
K.T. Vu,
G.F. Jefferson,
John Carminati

Description

Abstract We present and describe, with illustrative examples, the MAPLE computer algebra package DESOLVII, which is a major upgrade of DESOLV. DESOLVII now includes new routines allowing the determination of higher symmetries (contact and Lie–Bäcklund) for systems of both ordinary and partial differential equations. Title of program: DESOLVII Catalogue Id: ADYZ_v2_0 Nature of problem There are a number of approaches one may use to find solutions to systems of differential equations. These include numerical, perturbative, and algebraic methods. Unfortunately, approximate or numerical solution methods may be inappropriate in many cases or even impossible due to the nature of the system and hence exact methods are important. In their own right, exact solutions are valuable not only as a yardstick for approximate/numerical solutions but also as a means of elucidating the physica ... Versions of this program held in the CPC repository in Mendeley Data ADYZ_v1_0; DESOLV; 10.1016/j.cpc.2007.03.005 ADYZ_v2_0; DESOLVII; 10.1016/j.cpc.2012.01.005 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

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