Symmetry analysis of differential equations: a primer

Technical Report · Tue May 29 00:00:00 EDT 2018

DOI:https://doi.org/10.2172/1487366· OSTI ID:1487366

Albright, Eric Jason ^[1]; McHardy, James D. ^[1]; Ramsey, Scott D. ^[1]; Schmidt, Joseph H. ^[1]

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1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)

Symmetry analysis, also known as group invariance, Lie-group, and similarity analysis, originated from the work of Lie [13], well over a century ago, in part to unify the large number of different techniques devised to solve specific differential equations. Lie’s approach to studying differential equations is based on three key ideas: symmetry, in variance, and Lie groups. It is assumed that the reader is unfamiliar with these concepts, and the purpose of this primer is to introduce them to the reader and illustrate their perhaps surprising applicability to the study of differential equations.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: 89233218CNA000001
• OSTI ID: 1487366
• Report Number(s): LA-14502
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING