The Hirota bilinear method for the coupled Burgers equation and the high-order Boussinesq–Burgers equation |
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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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