Symmetry analysis of differential equations: a primer
- 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 Lab. (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
Similar Records
Lectures on Lie Group Analysis: Solving Differential Equations Using Symmetries
Symmetry analysis of the Grad-Shafranov equation
Symmetries and first integrals of some differential equations of dynamics
Technical Report
·
Mon Sep 23 00:00:00 EDT 2024
·
OSTI ID:2447587
Symmetry analysis of the Grad-Shafranov equation
Journal Article
·
Mon Dec 14 23:00:00 EST 2009
· Physics of Plasmas
·
OSTI ID:21371253
Symmetries and first integrals of some differential equations of dynamics
Journal Article
·
Mon Oct 01 00:00:00 EDT 1979
· Hadronic J.; (United States)
·
OSTI ID:6520040