6 citations · 8 across the 4 of their papers we have counts for
5 papers
On a non-commutative sixth -Painlevé system: from discrete system to surface theory
Irina Bobrova
In this paper, we describe the non-commutative formal geometry underlying a certain class of discrete integrable systems. Our main example is a non-commutative analog, labeled -…
Affine Weyl groups and non-Abelian discrete systems: an application to the -Painlevé equations
Irina Bobrova
A non-abelian generalisation of a birational representation of affine Weyl groups and their application to the discrete dynamical systems is presented. By using this generalisation…
Non-Abelian discrete Toda chains and related lattices
Irina Bobrova, Vladimir Retakh, Vladimir Rubtsov +1
We have derived a non-abelian analog for the two-dimensional discrete Toda lattice which possesses solutions in terms of quasideterminants and admits Lax pairs of different forms.…
Different linearizations of non-abelian second Painlevé systems and related monodromy surfaces
Irina Bobrova
In this paper, we discuss a connection between different linearizations for non-abelian analogs of the second Painlevé equation. For each of the analogs, we listed the pairs of the…
On symmetries of the non-stationary PIIn hierarchy and their applications
Irina Bobrova
In the current paper we study auto-Bäcklund transformations of the non-stationary second Painlevé hierarchy depending on parameters: a parameter $α_n…