| Exact solutions for the mixed AKNS equation： Hirota approach |
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| 引用本文： | 郝宏海,吕丽丽.Exact solutions for the mixed AKNS equation： Hirota approach[J].上海大学学报(英文版),2007,11(3):241-244. |
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| 作者姓名： | 郝宏海 吕丽丽 |
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| 作者单位： | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No.40175014） |
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| 摘 要： | The mixed AKNS nonlinear evolution equation in equation, which contains an isospectral term the AKNS system. So searching for its exact and a nonisospectral term, is an important solutions is vital both for the AKNS system and in mathematical sense. In this paper, the corresponding Lax pair was given, the bilinear forms of the mixed AKNS equation were obtained through introducing the transformation of dependent variables. By using Hirota＇s bilinear method, the N-soliton solutions were obtained.
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| 关 键 词： | Hirota逼近 孤波解 双线性模型 AKNS方程 |
| 修稿时间： | 2005-05-302005-09-28 |
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