Taras SKRYPNYK
Bogolyubov Institute for Theoretical Physics,
14B Metrologichna Str.,
Kyiv 03143, UKRAINE
E-mail: tskrypnyk@imath.kiev.ua

Hierarchies of integrable equations via quasigraded Lie algebras

Abstract:
Using  special quasigraded Lie algebras we obtain new hierarchies of integrable nonlinear equations admitting zero-curvature representations. In particular, we obtain  "deformation'' of   Heisenberg  magnet hierarchy and  new types of anisotropic chiral field hierarchies.