Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation

Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation

Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of...

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Main Authors: Binlu Feng, Yufeng Zhang
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/154915
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spelling doaj-44066da398b443249cbbd831bc8ef6f02021-07-02T09:31:34ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392015-01-01201510.1155/2015/154915154915Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries EquationBinlu Feng0Yufeng Zhang1School of Mathematics and Information Sciences, Weifang University, Weifang 261061, ChinaCollege of Sciences, China University of Mining and Technology, Xuzhou 221116, ChinaBased on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of the negative-order KdV equations are followed to be obtained. The resulting Hamiltonian structure of one negative integrable coupling is derived from the variational identity.http://dx.doi.org/10.1155/2015/154915
collection DOAJ
language English
format Article
sources DOAJ
author Binlu Feng
Yufeng Zhang
spellingShingle Binlu Feng
Yufeng Zhang
Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
Advances in Mathematical Physics
author_facet Binlu Feng
Yufeng Zhang
author_sort Binlu Feng
title Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
title_short Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
title_full Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
title_fullStr Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
title_full_unstemmed Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation
title_sort two kinds of new integrable couplings of the negative-order korteweg-de vries equation
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2015-01-01
description Based on some known loop algebras with finite dimensions, two different negative-order integrable couplings of the negative-order Korteweg-de Vries (KdV) hierarchy of evolution equations are generated by making use of the Tu scheme, from which the corresponding negative-order integrable couplings of the negative-order KdV equations are followed to be obtained. The resulting Hamiltonian structure of one negative integrable coupling is derived from the variational identity.
url http://dx.doi.org/10.1155/2015/154915
work_keys_str_mv AT binlufeng twokindsofnewintegrablecouplingsofthenegativeorderkortewegdevriesequation
AT yufengzhang twokindsofnewintegrablecouplingsofthenegativeorderkortewegdevriesequation
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