Painlevé analysis and analytic solutions to the Riccati types of equations
type: Item
instance of: scholarly article
title: Painlevé analysis and analytic solutions to the Riccati types of equations
zbMATH Open document ID: 1341.34014
author: Han-Ze Liu
published in: Results in Mathematics
publication date: 2015-09-28T00:00:00Z
review text: For the generalized Riccati equation \[ \dfrac{dy}{dx}=P(x)y^m+Q(x)y^n+R(x) \] with \(m>n\), the author characterizes its Painlevé property, and the existence of analytic solutions.
reviewed by: Xiang Zhang
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 34A05
Mathematics Subject Classification ID: 34M55
zbMATH DE Number: 6485807
zbMATH Keywords: Riccati equation
zbMATH Keywords: Painlevé test
zbMATH Keywords: power series method
zbMATH Keywords: analytic solution
MaRDI profile type: Publication
full work available at URL: s00025-015-0438-2
OpenAlex ID: W1998795424
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DOI: 10.1007/S00025-015-0438-2
description: scientific article; zbMATH DE number 6485807