Seminars: O. I. Morozov, Integrability structures of the generalized Hunter-Saxton equation

SEMINARS


Cohomological geometry of differential equations October 30, 2019 19:20, Moscow, Independent University of Moscow, room 308

Integrability structures of the generalized Hunter-Saxton equation O. I. Morozov
Abstract: I will talk about integrability structures of the generalized Hunter-Saxton equation. In particular, I will present a Lax representation with non-removable parameter, local recursion operators of the first order for symmetries and cosymmetries, and a Lie algebra of higher symmetries generated by the recursion operators from contact symmetries. Also I will show an example of constructing solutions invariant with respect to a higher symmetry.