| A （2＋1）-Dimensional Dispersive Long Wave Hierarchy and its Integrable Couplings |
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| 作者姓名： | Huanhe Dong |
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| 作者单位： | School of Information，Shandong University of Science and Technology，Qingdao，Shandong 266510，China |
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| 基金项目： | The author is very grateful to Prof. Zhang Yu-feng for his guidance and help. |
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| 摘 要： | Under the frame of the (2 1)-dimensional zero curvature equation and Tu model, the (2 1)-dimensional dispersive long wave hierarchy is obtained. Furthermore, the loop algebra is expanded into a larger one. Moreover, a class of integrable coupling system for dispersive long wave hierarchy and (2 1)-dimensional multi-component integrable system will be investigated.
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| 关 键 词： | （2＋1）维扩散长波分层 可积耦合 圈代数 （2＋1）维零曲率方程 |
| 修稿时间： | 2006-03-242006-04-29 |
A (2+1)-Dimensional Dispersive Long Wave Hierarchy and its Integrable Couplings |
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| Huanhe Dong.A (2+1)-Dimensional Dispersive Long Wave Hierarchy and its Integrable Couplings[J].Numerical Mathematics A Journal of Chinese Universities English Series,2007,16(2):147-154. |
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| Authors: | Huanhe Dong |
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| Abstract: | Under the frame of the (2 1)-dimensional zero curvature equation and Tu model, the (2 1)-dimensional dispersive long wave hierarchy is obtained. Furthermore, the loop algebra is expanded into a larger one. Moreover, a class of integrable coupling system for dispersive long wave hierarchy and (2 1)-dimensional multi-component integrable system will be investigated. |
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| Keywords: | (2 1)-dimensional zero curvature equation integrable coupling loop algebra multi-component hierarchy |
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