| New families of non-travelling wave solutions to the （2＋1）-dimensional modified dispersive water-wave system |
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| 引用本文： | 李德生,张鸿庆.New families of non-travelling wave solutions to the （2＋1）-dimensional modified dispersive water-wave system[J].中国物理 B,2004,13(9):1377-1381. |
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| 作者姓名： | 李德生 张鸿庆 |
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| 作者单位： | (1)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; (2)Department of Mathematics, Shenyang Normal University, Shenyang 110034, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| 基金项目： | Project supported by the National Key Basic Research Development of China (Grant No 1998030600) and the National Natural Science Foundation of China (Grant No 10072013). |
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| 摘 要： | In this paper, we introduce a further generalized projective Riccati equation method and apply it to solve the (2 1)-dimensional modified dispersive water-wave system. Many new types of non-travelling wave solutions are obtained for this system.
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| 关 键 词： | 三维修正水波扩散系统 非行波解 Riccati投射 水动力学 |
| 收稿时间： | 2003-12-26 |
New families of non-travelling wave solutions to the (2+1)-dimensional modified dispersive water-wave system |
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| Li De-Sheng and Zhang Hong-Qing.New families of non-travelling wave solutions to the (2+1)-dimensional modified dispersive water-wave system[J].Chinese Physics B,2004,13(9):1377-1381. |
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| Authors: | Li De-Sheng and Zhang Hong-Qing |
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| Affiliation: | Department of Mathematics, Shenyang Normal University, Shenyang 110034, China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China |
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| Abstract: | In this paper, we introduce a further generalized projective Riccati equation method and apply it to solve the (2+1)-dimensional modified dispersive water-wave system. Many new types of non-travelling wave solutions are obtained for this system. |
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| Keywords: | projective Riccati equation method (2+1)-dimensional modified dispersive water-wave system non-travelling wave solution |
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