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

Abstract

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.

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

References in corpus (3)

• Symmetries of Differential Equations via Cartan's Method of Equivalence
• The Calogero equation and Liouville type equations
• Contact Equivalence Problem for Linear Hyperbolic Equations

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