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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/159460In 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/Mathematical PhysicsDifferential GeometryExactly Solvable and Integrable Systems58H05, 58J70, 35A30Structure of Symmetry Groups via Cartan's Method: Survey of Four Approachestext