| NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A COMPOUND KdV－BURGERS EQUATION |
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| 引用本文： | 夏铁成,张鸿庆,闫振亚.NEW EXPLICIT AND EXACT TRAVELLING WAVE SOLUTIONS FOR A COMPOUND KdV－BURGERS EQUATION[J].中国物理 B,2001,10(8):694-697. |
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| 作者姓名： | 夏铁成 张鸿庆 闫振亚 |
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| 作者单位： | (1)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; (2)Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, China; Department of Mathematics, Jinzhou Normal University Jinzhou 121000, China |
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| 基金项目： | Project supported by the National Key Basic Research Development project of China (Grant No. 1998030600), the National Natural Science Foundation of China (Grant No. 10072013) and Educational Committee of Liaoning Province (Grant No. 990421093). |
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| 摘 要： | In this paper, new explicit and exact travelling wave solutions for a compound KdV－Burgers equation are obtained by using the hyperbola function method and the Wu elimination method, which include new solitary wave solutions and periodic solutions. Particularly important cases of the equation, such as the compound KdV, mKdV－Burgers and mKdV equations can be solved by this method. The method can also solve other nonlinear partial differential equations.
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| 关 键 词： | compound KdV－Burgers equation travelling wave solution Wu elimination method |
| 收稿时间： | 2000-05-17 |
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