| Bilinear Bcklund transformation and explicit solutions for a nonlinear evolution equation |
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| 作者姓名： | 吴勇旗 |
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| 作者单位： | Mathematics and Computational Science School, Zhanjiang NormalUniversity, Zhanjiang 524048, China |
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| 基金项目： | Project supported by the ScienceResearch Foundation of Zhanjiang Normal University (GrantNo.~L0803). |
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| 摘 要： | The bilinear form of two nonlinear evolution equations arederived by using Hirota derivative. The B"{a}cklund transformationbased on the Hirota bilinear method for these two equations arepresented, respectively. As an application, the explicit solutionsincluding soliton and stationary rational solutions for these twoequations are obtained.
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| 关 键 词： | Hirota method Ba¨cklund transformation soliton solution |
| 收稿时间： | 2009-08-26 |
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