3 papers
nlin.SI2026
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 -…
nlin.SI2024
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.…
nlin.SI2024
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…