Supersymmetric integrable systems in \((2+1)\) dimensions and their Bäcklund transformation
type: Item
instance of: scholarly article
title: Supersymmetric integrable systems in \((2+1)\) dimensions and their Bäcklund transformation
zbMATH Open document ID: 0937.37049
DOI: 10.1023/A:1026605819631
author: Mousumi Saha
author: A. Roy Chowdhury
published in: International Journal of Theoretical Physics
publication date: 1999-11-18T00:00:00Z
review text: Two approaches to generalize nonlinear integrable systems in \((2+1)\) dimensions which are supersymmetric are proposed. The first one makes use of the homogeneous spaces of super-Lie algebra and the second one extends the dimension of the system. The approach produces two different equations. The Bäcklund transformations of these equations are generated with the help of gauge and Darboux-Bäcklund transformations. The authors demonstrate the existence of purely fermionic nonlinear systems in \((2+1)\) dimensions.
Mathematics Subject Classification ID: 37K10
Mathematics Subject Classification ID: 37K35
zbMATH DE Number: 1364401
zbMATH Keywords: supersymmetric models
zbMATH Keywords: nonlinear integrable systems
zbMATH Keywords: super-Lie algebra
zbMATH Keywords: Bäcklund transformations
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1364401