Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy

Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy

A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the...

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Main Authors: Fucai You, Jiao Zhang, Yan Zhao
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/214709
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spelling doaj-019e1c233d5e422bbc5cdf78d7b9d0982020-11-24T23:01:35ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/214709214709Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur HierarchyFucai You0Jiao Zhang1Yan Zhao2Department of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, ChinaDepartment of Basic Sciences, Shenyang Institute of Engineering, Shenyang 110136, ChinaCollege of New Energy, Shenyang Institute of Engineering, Shenyang 110136, ChinaA six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the infinite conservation laws of the first two nonlinear super-AKNS equations in the hierarchy by utilizing spectral parameter expansions. PACS: 02.30.Ik; 02.30.Jr; 02.20.Sv.http://dx.doi.org/10.1155/2014/214709
collection DOAJ
language English
format Article
sources DOAJ
author Fucai You
Jiao Zhang
Yan Zhao
spellingShingle Fucai You
Jiao Zhang
Yan Zhao
Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
Abstract and Applied Analysis
author_facet Fucai You
Jiao Zhang
Yan Zhao
author_sort Fucai You
title Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
title_short Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
title_full Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
title_fullStr Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
title_full_unstemmed Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy
title_sort super-hamiltonian structures and conservation laws of a new six-component super-ablowitz-kaup-newell-segur hierarchy
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description A six-component super-Ablowitz-Kaup-Newell-Segur (-AKNS) hierarchy is proposed by the zero curvature equation associated with Lie superalgebras. Supertrace identity is used to furnish the super-Hamiltonian structures for the resulting nonlinear superintegrable hierarchy. Furthermore, we derive the infinite conservation laws of the first two nonlinear super-AKNS equations in the hierarchy by utilizing spectral parameter expansions. PACS: 02.30.Ik; 02.30.Jr; 02.20.Sv.
url http://dx.doi.org/10.1155/2014/214709
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AT jiaozhang superhamiltonianstructuresandconservationlawsofanewsixcomponentsuperablowitzkaupnewellsegurhierarchy
AT yanzhao superhamiltonianstructuresandconservationlawsofanewsixcomponentsuperablowitzkaupnewellsegurhierarchy
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