A super soliton connection
type: Item
instance of: scholarly article
title: A super soliton connection
zbMATH Open document ID: 0608.35072
DOI: 10.1007/BF00400221
author: B. George
published in: Letters in Mathematical Physics
publication date: 1986-01-01T00:00:00Z
review text: This short note gives a survey of the AKNS schema and its geometrical interpretation. Section 1 and 2 contain a description of the scheme and in section 3 a super s1(2,R) valued connection 1-form. Then the zero curvature condition leads to a new class of super integrable non-linear evolution equations associated with the super AKNS scheme. The extension of the super AKNS scheme is described and its applications are presented in the final section.
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 35G20
zbMATH DE Number: 3983762
zbMATH Keywords: soliton
zbMATH Keywords: super extension
zbMATH Keywords: Lax hierarchy
zbMATH Keywords: super nonlinear Schrödinger equation
zbMATH Keywords: Bäcklund transformations
zbMATH Keywords: survey
zbMATH Keywords: AKNS schema
zbMATH Keywords: zero curvature condition
zbMATH Keywords: integrable non-linear evolution equations
reviewed by: Prabhat Kumar Mahanti
MaRDI profile type: Publication
cites work: Q3961178
cites work: The soliton connection
cites work: Superintegrable systems
cites work: A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
cites work: Q5530857
full work available at URL: https://doi.org/10.1007/bf00400221
OpenAlex ID: W1992123408
description: scientific article; zbMATH DE number 3983762