Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System

Starting from a matrix Lie superalgebra, two-component super AKNS system is constructed. By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super Hamiltonian system. And its Lax representation and...

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Main Authors: Jing Yu, Jingwei Han
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/507540
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author Jing Yu
Jingwei Han
author_facet Jing Yu
Jingwei Han
author_sort Jing Yu
collection DOAJ
description Starting from a matrix Lie superalgebra, two-component super AKNS system is constructed. By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super Hamiltonian system. And its Lax representation and r-matrix are also given in this paper.
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institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2014-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-4306fe2957464db7b94be7307323d6162025-02-03T00:59:48ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/507540507540Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian SystemJing Yu0Jingwei Han1School of Science, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaSchool of Information Engineering, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, ChinaStarting from a matrix Lie superalgebra, two-component super AKNS system is constructed. By making use of monononlinearization technique of Lax pairs, we find that the obtained two-component super AKNS system is a finite-dimensional integrable super Hamiltonian system. And its Lax representation and r-matrix are also given in this paper.http://dx.doi.org/10.1155/2014/507540
spellingShingle Jing Yu
Jingwei Han
Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
Abstract and Applied Analysis
title Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
title_full Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
title_fullStr Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
title_full_unstemmed Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
title_short Two-Component Super AKNS Equations and Their Finite-Dimensional Integrable Super Hamiltonian System
title_sort two component super akns equations and their finite dimensional integrable super hamiltonian system
url http://dx.doi.org/10.1155/2014/507540
work_keys_str_mv AT jingyu twocomponentsuperaknsequationsandtheirfinitedimensionalintegrablesuperhamiltoniansystem
AT jingweihan twocomponentsuperaknsequationsandtheirfinitedimensionalintegrablesuperhamiltoniansystem