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Symbolic Differential Elimination for Symmetry Analysis 

Authors: Erik Hillgarter;  Ralf Hemmecke;  Guumlnter Landsmann; Franz Winkler
DOI: 10.1080/13873950412331318107
Publication Frequency: 6 issues per year
Published in: journal Mathematical and Computer Modelling of Dynamical Systems, Volume 10, Issue 2 June 2004 , pages 123 - 147
Number of References: 28
Formats available: PDF (English)
Previously published as: Mathematical Modelling of Systems (1381-2424) until 1998
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Abstract

Differential problems are ubiquitous in mathematical modeling of physical and scientific problems. Algebraic analysis of differential systems can help in determining qualitative and quantitative properties of solutions of such systems. In this tutorial paper we describe several algebraic methods for investigating differential systems.
Keywords: Lie symmetries; differential elimination; Groumlbner bases
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