Pure imaginary solutions of the second Painlevé equation
type: Item
instance of: scholarly article
title: Pure imaginary solutions of the second Painlevé equation
zbMATH Open document ID: 1078.34073
DOI: 10.1155/S0161171204310070
author: Alisher S. Abdullayev
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2005-05-25T00:00:00Z
full work available at URL: https://eudml.org/doc/51929
review text: The paper deals with the second Painlevé equation of the form \[ y''= 2y^3+ 2y+ i\alpha,\quad \alpha\in\mathbb{R}. \] The author proves the existence of pure imaginary solutions and their asymptotics as \(x\to\infty\) which are infinitely differentiable. Some specific cases of the equation are considered in detail.
reviewed by: Dobiesław Bobrowski
Mathematics Subject Classification ID: 34M55
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 2171759
zbMATH Keywords: Painlevé equation
zbMATH Keywords: asymptotic solution
MaRDI profile type: Publication
OpenAlex ID: W2018164711
description: scientific article; zbMATH DE number 2171759