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Rational Solutions of Equations Associated with the Second Painlevé Equation

Rational Solutions of Equations Associated with the Second Painlevé Equation Nonlinear differential equations associated with the second Painlevé equation are considered. Transformations for solutions of the singular manifold equation are presented. It is shown that rational solutions of the singular manifold equation are determined by means of the Yablonskii-Vorob’ev polynomials. It is demonstrated that rational solutions for some differential equations are also expressed via the Yablonskii-Vorob’ev polynomials. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Regular and Chaotic Dynamics Springer Journals

Rational Solutions of Equations Associated with the Second Painlevé Equation

Regular and Chaotic Dynamics , Volume 25 (3) – May 31, 2020

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References (22)

Publisher
Springer Journals
Copyright
Copyright © Pleiades Publishing, Ltd. 2020
ISSN
1560-3547
eISSN
1468-4845
DOI
10.1134/S156035472003003X
Publisher site
See Article on Publisher Site

Abstract

Nonlinear differential equations associated with the second Painlevé equation are considered. Transformations for solutions of the singular manifold equation are presented. It is shown that rational solutions of the singular manifold equation are determined by means of the Yablonskii-Vorob’ev polynomials. It is demonstrated that rational solutions for some differential equations are also expressed via the Yablonskii-Vorob’ev polynomials.

Journal

Regular and Chaotic DynamicsSpringer Journals

Published: May 31, 2020

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