Meromorphy of solutions for a wide class of ordinary differential equations of Painlevé type
arXiv:2110.09858 · doi:10.1063/5.0075416
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.
13 pages
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