Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches

Details Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches

2005-08-06

arxiv.org/abs/math-ph/0508016v2

SIGMA 1 (2005), 006, 14 pages

Physics

Mathematical Physics

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2005.006

In this review article we discuss four recent methods for computing
Maurer-Cartan structure equations of symmetry groups of differential equations.
Examples include solution of the contact equivalence problem for linear
hyperbolic equations and finding a contact transformation between the
generalized Hunter-Saxton equation and the Euler-Poisson equation.

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