Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type (2110.09858v1)

Published 19 Oct 2021 in nlin.SI, math-ph, math.CA, and math.MP

Abstract: We prove the meromorphy of solutions for a wide class of ordinary differential equations. These equations are given by invariant manifolds of non-linear partial differential equations integrable by the inverse scattering method. Some higher analogues of the Painlev\' e equations are considered as examples.

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