The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy

The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy

By use of the loop algebra G-~, integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by Tu scheme and the quadratic-form identity. The method can be used to produce the integrable coupling and its Hamiltonian structures to the other integrable systems.

Bibliographic Details
Main Authors: Xia Dong, Tiecheng Xia, Desheng Li
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/295068
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spelling doaj-d5d748df7d3648e6bc8cc5fe808c8d262020-11-24T21:26:02ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/295068295068The Semidirect Sum of Lie Algebras and Its Applications to C-KdV HierarchyXia Dong0Tiecheng Xia1Desheng Li2Department of Mathematics, Shenyang Normal University, Shenyang 110034, ChinaDepartment of Mathematics, Shanghai University, Shanghai 200444, ChinaDepartment of Mathematics, Shenyang Normal University, Shenyang 110034, ChinaBy use of the loop algebra G-~, integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by Tu scheme and the quadratic-form identity. The method can be used to produce the integrable coupling and its Hamiltonian structures to the other integrable systems.http://dx.doi.org/10.1155/2014/295068
collection DOAJ
language English
format Article
sources DOAJ
author Xia Dong
Tiecheng Xia
Desheng Li
spellingShingle Xia Dong
Tiecheng Xia
Desheng Li
The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
Abstract and Applied Analysis
author_facet Xia Dong
Tiecheng Xia
Desheng Li
author_sort Xia Dong
title The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
title_short The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
title_full The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
title_fullStr The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
title_full_unstemmed The Semidirect Sum of Lie Algebras and Its Applications to C-KdV Hierarchy
title_sort semidirect sum of lie algebras and its applications to c-kdv hierarchy
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description By use of the loop algebra G-~, integrable coupling of C-KdV hierarchy and its bi-Hamiltonian structures are obtained by Tu scheme and the quadratic-form identity. The method can be used to produce the integrable coupling and its Hamiltonian structures to the other integrable systems.
url http://dx.doi.org/10.1155/2014/295068
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AT tiechengxia thesemidirectsumofliealgebrasanditsapplicationstockdvhierarchy
AT deshengli thesemidirectsumofliealgebrasanditsapplicationstockdvhierarchy
AT xiadong semidirectsumofliealgebrasanditsapplicationstockdvhierarchy
AT tiechengxia semidirectsumofliealgebrasanditsapplicationstockdvhierarchy
AT deshengli semidirectsumofliealgebrasanditsapplicationstockdvhierarchy
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