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DOE OSTI · 1460673

Symmetry Analysis Using Symbolic Computation

Albright, Eric Jason·McHardy, James David
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Abstract

The symmetry group of a system of differential equations reveals basic invariant properties of the underlying model and its solutions. In many cases symmetry groups have simple geometric interpretations that can be applied to simplify the model and determine certain classes of solutions explicitly. The general procedure to compute the symmetry group of a given system of differential equations follows a well-known algorithm. However, this procedure involves a large number of laborious and usually error-prone calculations, especially in the case of higher-order systems. The purpose of this report is explain how to use an existing software program designed to automate the major steps of this algorithm in order to calculate the symmetry group of any system of differential equations more efficiently.

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Albright, Eric Jason, McHardy, James David. 2018-07-17. Symmetry Analysis Using Symbolic Computation. https://doi.org/10.2172/1460673

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