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nlin.SI2025
Non-integrability of the Sasano system of type
Tsvetana Stoyanova
The Sasano sytem of type is a four-dimensional non-linear system of ordinary differential equations, which has an affine Weyl group of symmetries of type . I…
nlin.SI2023
Non-Integrability of the Sasano System of Type and Stokes Phenomena
Tsvetana Stoyanova
In 2006, Y. Sasano proposed higher-order Painlevé systems, which admit affine Weyl group symmetry of type , . In this paper, we study the integrability…
nlin.SI2023
Non-integrability of the Painlevé IV equation in the Liouville-Arnold sense and Stokes phenomena
Tsvetana Stoyanova
In this paper we study the integrability of the Hamiltonian system associated to the fourth Painlevé equation. We prove that one two parametric family of this Hamiltonian system is…