12 citations · 41 across the 8 of their papers we have counts for
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nlin.SI2022★ 4 cited
Classification of Hamiltonian non-abelian Painlevé type systems
Irina Bobrova, Vladimir Sokolov
All Hamiltonian non-abelian Painlevé systems of type with constant coefficients are found. For systems, we replace an approp…
nlin.SI2022
Non-abelian Painlevé systems with generalized Okamoto integral
Irina Bobrova, Vladimir Sokolov
We study non-abelian systems of Painlevé type. To derive them, we introduce an auxiliary autonomous system with the frozen independent variable and postulate its integrability in t…
math-ph2022★ 7 cited
A fully noncommutative analog of the Painlevé IV equation and a structure of its solutions
Irina Bobrova, Vladimir Retakh, Vladimir Rubtsov +1
We study a fully noncommutative generalisation of the commutative fourth Painlevé equation that possesses solutions in terms of an infinite Toda system over an associative unital d…