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nlin.SI2022★ 1 cited
On symmetric solutions of the fourth -Painlevé equation
Nalini Joshi, Pieter Roffelsen
The Painlevé equations possess transcendental solutions with special initial values that are symmetric under rotation or reflection in the complex -plane. They correspond…
math-ph2022
On the monodromy manifold of -Painlevé VI and its Riemann-Hilbert problem
Nalini Joshi, Pieter Roffelsen
We study the sixth -difference Painlevé equation () through its associated Riemann-Hilbert problem (RHP) and show that the RHP is always solvable fo…