The Cauchy problem for the Ishimori equation
type: Item
instance of: scholarly article
title: The Cauchy problem for the Ishimori equation
zbMATH Open document ID: 0893.35117
author: Yanyan Li
published in: Journal of Functional Analysis
publication date: 1998-07-23T00:00:00Z
review text: The Ishimori equation, describing the two-dimensional analog of the classical continuous isotropic Heisenberg spin chain is mapped via a gauge transformation onto the Davey-Stewartson II equation for shallow watter waves. Results concerning the Cauchy problem for the Ishimori equation are obtained by exploiting this correspondence and the known results about the Cauchy problem for Davey-Stewartson II equation. In particular, conditions are given under which the Cauchy problem for the Ishimori equation is well-posed, i.e. solutions are unique and show continuous dependence upon the initial conditions.
Mathematics Subject Classification ID: 35Q58
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 82C23
zbMATH DE Number: 944390
zbMATH Keywords: spin dynamics
zbMATH Keywords: Davey-Stewartson II equation
reviewed by: Gheorghe Nenciu
MaRDI profile type: Publication
full work available at URL: jfan.1996.0078
OpenAlex ID: W2027575272
DOI: 10.1006/JFAN.1996.0078
description: scientific article; zbMATH DE number 944390