Sinh-Gordon equation, Painlevé property and Bäcklund transformation
type: Item
instance of: scholarly article
title: Sinh-Gordon equation, Painlevé property and Bäcklund transformation
zbMATH Open document ID: 0653.35073
DOI: 10.1016/0378-4371(85)90027-5
published in: Physica A
publication date: 1985-01-01T00:00:00Z
review text: The Painlevé property for partial differential equation proposed by Weiss et al. is studied for the sinh-Gordon equation. We performed a singular point analysis to show that the Painlevé property is a valuable analytical test for integrability and we found in a remarkably straightforward manner the Bäcklund transformation of the sinh-Gordon equation.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35A30
zbMATH DE Number: 4065551
zbMATH Keywords: Painlevé property
zbMATH Keywords: sinh-Gordon equation
zbMATH Keywords: singular point
zbMATH Keywords: integrability
zbMATH Keywords: Bäcklund transformation
author: Adolf Grauel
MaRDI profile type: Publication
full work available at URL: 0378-4371(85)90027-5
OpenAlex ID: W2000025858
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description: scientific article; zbMATH DE number 4065551