Painlevé analysis for a nonlinear Schrödinger equation in three dimensions
type: Item
instance of: scholarly article
title: Painlevé analysis for a nonlinear Schrödinger equation in three dimensions
zbMATH Open document ID: 0663.35064
DOI: 10.1007/BF00669420
author: A. Roy Chowdhury
author: Pranab K. Chanda
published in: International Journal of Theoretical Physics
publication date: 1987-01-01T00:00:00Z
review text: A Painlevé analysis is performed for the nonlinear Schrödinger equation in \((2+1)\) dimensions following the methodology of Weiss et al. simplified in the sense of Kruskal. At least for one branch it is found that the required number of arbitrary functions (as demanded by the Cauchy-Kovalevskaya theorem) exists, signalling complete integrability.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 37J35
Mathematics Subject Classification ID: 37K10
zbMATH DE Number: 4084193
zbMATH Keywords: Painlevé analysis
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: Cauchy- Kovalevskaya theorem
zbMATH Keywords: complete integrability
MaRDI profile type: Publication
cites work: Specific Solutions to Nonlinear Schrodinger Equation in Two Spatial Dimension
cites work: The Painlevé property for partial differential equations. II: Bäcklund transformation, Lax pairs, and the Schwarzian derivative
cites work: The Painlevé property for partial differential equations
description: scientific article; zbMATH DE number 4084193