Applications of Cartan's structure theory of Lie pseudo-groups in geometry of differential equation
Professor Oleg I. MorozovMoscow State Technical Univ. of Civil Aviation, Russia 下午 4:00–4:50 鴻經館 107 室In this talk I will present some new developments in applications of Cartan's equivalence method to symmetry analysis of differential equations. First, I will describe the method and use it to solve the equivalence problem for equations arising in nonlinear reflection of shock waves. Second, I will discuss the interplay between Cartan's structure theory of Lie pseudo-groups and coverings of integrable (2+1) dispersionless equations.