Seminars: O. I. Morozov, Lax representations, integrable hierarchies, and non-central extensions of symmetry algebras of differential equations

SEMINARS


Cohomological geometry of differential equations March 6, 2019 19:20, Moscow, Independent University of Moscow, room 308

Lax representations, integrable hierarchies, and non-central extensions of symmetry algebras of differential equations O. I. Morozov
Abstract: I will talk about the technique for finding Lax representations of nonlinear PDEs via non-central extensions of their symmetry algebras that are generated by non-trivial exotic 2-cocycles. Examples will include Lax representations with non-removable spectral parameters and integrable hierarchies associated with some nonlinear PDEs.