Email this article Solutions of the Fourth-Order Equation in the Generalized Hierarchy of the Second Painlevé Equation
- Authors: Gromak V.I.1
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Affiliations:
- Belarusian State University
- Issue: Vol 55, No 3 (2019)
- Pages: 328-339
- Section: Ordinary Differential Equation
- URL: https://journals.rcsi.science/0012-2661/article/view/154963
- DOI: https://doi.org/10.1134/S0012266119030066
- ID: 154963
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Abstract
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.
About the authors
V. I. Gromak
Belarusian State University
Author for correspondence.
Email: vgromak@gmail.com
Belarus, Minsk, 220030
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