| The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq–Burgers equation |
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| 引用本文： | 左进明,张耀明.The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq–Burgers equation[J].中国物理 B,2011,20(1):10205-010205. |
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| 作者姓名： | 左进明 张耀明 |
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| 作者单位： | School of Science, Shandong University of Technology, Zibo 255049, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 10871117 and 10571110). |
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| 摘 要： | This paper studies the coupled Burgers equation and the high-order Boussinesq–Burgers equation. The Hirota bilinear method is applied to show that the two equations are completely integrable. Multiple-kink (soliton) solutions and multiple-singular-kink (soliton) solutions are derived for the two equations.
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| 关 键 词： | Burgers方程 双线性方法 高阶 耦合 可积方程 孤子 扭结 奇异 |
| 收稿时间： | 2010-06-14 |
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