In this paper, we construct Yang–Baxter (YB) maps using Darboux matrices which are
invariant under the action of finite reduction groups. We present six-dimensional YB maps …

We extend the reduction group method to the Lax-Darboux schemes associated with
nonlinear Schrödinger type equations. We consider all possible finite reduction groups and …

The problem of Lie algebras' classification, in their different varieties, has been dealt with by
theory researchers since the early 20th century. This problem has an intrinsically infinite …

Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to
extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus …

A CLASSIFICATION OF AUTOMORPHIC LIE ALGEBRAS ON COMPLEX TORI Page 1
Proceedings of the Edinburgh Mathematical Society: page 1 of 43 doi:10.1017/S0013091524000324 …

A special class of integrable nonlinear differential equations related to A. III-type symmetric
spaces and having additional reductions are analyzed via the inverse scattering method …

We study a class of integrable nonlinear differential equations related to the A. III-type
symmetric spaces. These spaces are realized as factor groups of the form SU (N)/S (U (N …

We study automorphic Lie algebras and their applications to integrable systems.
Automorphic Lie algebras are a natural generalisation of celebrated Kac-Moody algebras to …

The present paper is dedicated to integrable models with Mikhailov reduction groups $
G_R\simeq\mathbb {D} _h. $ Their Lax representation allows us to prove, that their solution …

We study certain classes of integrable nonlinear differential equations related to the type
symmetric spaces. Our main examples concern equations related to A. III-type symmetric …