Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
Oleg I. Morozov
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.
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