Oleg MOROZOV
Department of Mathematics,
Moscow State Technical University of Civil Aviation,
20 Kronshtadtsky Blvd.,
Moscow 125993,
RUSSIA
E-mail: oim@foxcub.org

Structure of symmetry groups via Cartan's method: comparison of four approaches

Abstract:
The talk will review four recent methods of computing Maurer-Cartan structure equations for symmetry groups of differential equations. Examples will include the solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation of the generalized Hunter-Saxton equation to the Euler-Poisson equation.