Morozov O. Lie pseudo-groups and coverings of differential equations, talk at The Workshop on Geometry of PDEs and Integrability, 14-18 October 2013, Teplice nad Becvou, Czech Republic (abstract)

Speaker: Oleg Morozov

Title: Lie pseudo-groups and coverings of differential equations

Abstract:
We discuss the interplay between Eli Cartan's structure theory of Lie pseudo-groups and coverings of differential equations. We apply the technique of contact integrable extensions of symmetry pseudo-groups to demonstrate the Lax integrability of the 4-dimensional generalization of the rdDym equation, to derive a recursion operator for this equation, and to prove existence of a Bäcklund transformation between Ovsienko's bi-Hamiltonian system and the cotangent covering of the rdDym equation.