We propose a specific class of matrices that participate in factorization problems that turn out
to be equivalent to constant and entwining (non-constant) pentagon, reverse-pentagon or …

In the recent years there is a growing interest in deriving and extending discrete integrable
systems to the non-abelian domain. At the same time there is an intrinsic connection of …

We present two non-equivalent families of hierarchies of non-Abelian compatible maps and
we provide their Lax pair formulation. These maps are associated with families of …

We present two non-equivalent hierarchies of non-Abelian 3D− compatible maps and we
provide their Lax pair formulation. These hierarchies are naturally associated with integrable …

We introduce a family of order $ N\in\mathbb {N} $ Lax matrices that is indexed by the
natural number $ k\in\{1,\ldots, N-1\}. $ For each value of $ k $ they serve as strong Lax …