On the properties of solutions of equations in the \(K_{2}\) hierarchy
type: Item
instance of: scholarly article
title: On the properties of solutions of equations in the \(K_{2}\) hierarchy
zbMATH Open document ID: 1188.34116
DOI: 10.1134/S0012266108020043
author: Valeriĭ Ivanovic Gromak
published in: Differential Equations
publication date: 2010-01-15T00:00:00Z
review text: The author studies the properties of solutions of equations in the \(K_2\) hierarchy. The focus of the paper is on the sixth order equation in this hierarchy. Conditions for the existence of families of solutions with movable poles are obtained. The polynomial Hamiltonian is given. The Bäcklund transformations are derived. Meromorphic solutions are represented as ratios of special entire functions and the criteria for the existence of rational solutions are presented.
reviewed by: Galina Filipuk
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 34M35
zbMATH DE Number: 5659338
zbMATH Keywords: Painleve equations and higher order generalizations
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5659338