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

arXiv eprints
 Pub Date:
 October 2021
 arXiv:
 arXiv:2110.09858
 Bibcode:
 2021arXiv211009858D
 Keywords:

 Nonlinear Sciences  Exactly Solvable and Integrable Systems;
 Mathematical Physics;
 Mathematics  Classical Analysis and ODEs;
 34M05
 EPrint:
 13 pages