| A method for constructing exact solutions and application to Benjamin Ono equation |
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| 引用本文： | 王振,李德生,鲁慧芳,张鸿庆.A method for constructing exact solutions and application to Benjamin Ono equation[J].中国物理 B,2005,14(11):2158-2163. |
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| 作者姓名： | 王振 李德生 鲁慧芳 张鸿庆 |
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| 作者单位： | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China;Department of Mathematics, Shenyang Normal University,Shenyang 110034, China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China;Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China |
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| 基金项目： | Project supported by a National Key Basic Research Project of China (Grant No 2004CB318000). |
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| 摘 要： |
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| 关 键 词： | Benjamin Ono方程 行波解 孤波解 周期解 非线性发展方程 |
| 收稿时间： | 2005-04-20 |
| 修稿时间： | 6/6/2005 12:00:00 AM |
A method for constructing exact solutions and application to Benjamin Ono equation |
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| Wang Zhen,Li De-Sheng,Lu Hui-Fang and Zhang Hong-Qing.A method for constructing exact solutions and application to Benjamin Ono equation[J].Chinese Physics B,2005,14(11):2158-2163. |
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| Authors: | Wang Zhen Li De-Sheng Lu Hui-Fang and Zhang Hong-Qing |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China; Department of Applied Mathematics, Dalian University of Technology, Dalian 116024,China;Department of Mathematics, Shenyang Normal University,Shenyang 110034, China |
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| Abstract: | By using an improved projective Riccati equation method, this paper obtains several types of exact travelling wave solutions to the Benjamin Ono equation which include multiple soliton solutions, periodic soliton solutions and Weierstrass function solutions. Some of them are found for the first time. The method can be applied to other nonlinear evolution equations in mathematical physics. |
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| Keywords: | Benjamin Ono equation nonlinear evolution equation Weierstrass function solutions exact solutions |
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