Solutions of the Fourth-Order Equation in the Generalized Hierarchy of the Second Painlevé Equation

We consider the analytic properties of solutions of the fourth-order higher analog of the second Painlevé equation and study the local properties of solutions, Bäcklund transformations, rational solutions, and their representation via generalized Yablonskii-Vorob’ev polynomials.

Saved in:

Bibliographic Details
Published in:	Differential equations Vol. 55; no. 3; pp. 328 - 339
Main Author:	Gromak, V. I.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01-03-2019 Springer
Subjects:	Difference and Functional Equations Differential equations Mathematics Mathematics and Statistics Ordinary Differential Equation Ordinary Differential Equations Partial Differential Equations
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	We consider the analytic properties of solutions of the fourth-order higher analog of the second Painlevé equation and study the local properties of solutions, Bäcklund transformations, rational solutions, and their representation via generalized Yablonskii-Vorob’ev polynomials.
ISSN:	0012-2661 1608-3083
DOI:	10.1134/S0012266119030066