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20102026
most citedNon-Integrability of Some Higher-Order Painlevé Equations in the Sense of Liouville

5 citations · 9 across the 10 of their papers we have counts for

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math.DS2011★ 1 cited

Non-integrability of the second Painleve equation as a Hamiltonian system

Tsvetana Stoyanova, Ognyan Christov

We prove non-existence of an additional rational integral for the second Painleve equation considered as a Hamiltonian system using Morales - Ramis theory.