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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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2015/154915 |
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| author | Binlu Feng Yufeng Zhang |
| author_facet | Binlu Feng Yufeng Zhang |
| author_sort | Binlu Feng |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-44066da398b443249cbbd831bc8ef6f0 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-44066da398b443249cbbd831bc8ef6f02025-02-03T05:45:32ZengWileyAdvances 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 |
| spellingShingle | Binlu Feng Yufeng Zhang Two Kinds of New Integrable Couplings of the Negative-Order Korteweg-de Vries Equation Advances in Mathematical Physics |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2015/154915 |
| work_keys_str_mv | AT binlufeng twokindsofnewintegrablecouplingsofthenegativeorderkortewegdevriesequation AT yufengzhang twokindsofnewintegrablecouplingsofthenegativeorderkortewegdevriesequation |