| New multi—soliton solutions and travelling wave solutions of the dispersive long—wave equations |
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| 引用本文： | 张解放,郭冠平,吴锋民. New multi—soliton solutions and travelling wave solutions of the dispersive long—wave equations[J]. 中国物理, 2002, 11(6): 533-536. DOI: 10.1088/1009-1963/11/6/303 |
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| 作者姓名： | 张解放 郭冠平 吴锋民 |
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| 作者单位： | (1)College of Education Science and Technology, Zhejiang Normal University, Jinhua 321004, China; (2)Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China |
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| 摘 要： | Using the extended homogeneous balance method,the (1 1)-dimensional dispersive long-wave equations have been solved.Starting from the homogeneous balance method,we have obtained a nonlinear transformation for simplifying a dispersive long-wave equation into a linear partial differential equation.Usually,we can obtain only a type of soliton-like solution.In this paper,we have further found some new multi-soliton solutions and exact travelling solutions of the dispersive long-wave equations from the linear partial equation.
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| 关 键 词： | 非线性偏微分方程 多固子解 行波解 |
| 收稿时间： | 2001-08-15 |
New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations |
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| Zhang Jie-Fang,Guo Guan-Ping and Wu Feng-Min. New multi-soliton solutions and travelling wave solutions of the dispersive long-wave equations[J]. Chinese Physics, 2002, 11(6): 533-536. DOI: 10.1088/1009-1963/11/6/303 |
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| Authors: | Zhang Jie-Fang Guo Guan-Ping Wu Feng-Min |
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| Affiliation: | Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China; College of Education Science and Technology, Zhejiang Normal University, Jinhua 321004, China |
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| Abstract: | Using the extended homogeneous balance method, the (1+1)-dimensional dispersive long-wave equations have been solved. Starting from the homogeneous balance method, we have obtained a nonlinear transformation for simplifying a dispersive long-wave equation into a linear partial differential equation. Usually, we can obtain only a type of soliton-like solution. In this paper, we have further found some new multi-soliton solutions and exact travelling solutions of the dispersive long-wave equations from the linear partial equation. |
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| Keywords: | soliton solution dispersive long-wave equation extended homogeneous balance method |
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