| Solving the AKNS Hierarchy by Its Bilinear Form： Generalized Double Wronskian Solutions |
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| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10371070. the Special Found for Major Specialities of Shanghai Education Committee and China Postdoctoral Science Foundation |
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| 摘 要： | Through the Wronskian technique, a simple and direct proof is presented that the AKNS hierarchy in the bilinear form has generalized double Wronskian solutions. Moreover, by using a unified way, soliton solutions, rational solutions, Matveev solutions and complexitons in double Wronskian form for it are constructed.
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| 关 键 词： | 数学物理方法 AKNS体系 Wronskian解 双线性型 |
| 收稿时间： | 2006-12-22 |
Solving AKNS Hierarchy by Its Bilinear Form: Generalized Double Wronskian Solutions |
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| Authors: | YIN Fu-Mei SUN Ye-Peng CAI Fu-Qing CHEN Deng-Yuan |
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| Institution: | 1. Institute of Applied Mathematics, Naval Aeronautical Engineering Institute, Yantai 264001, China
;2. Institute of Computational Mathematics and Scientific
Engineering Computing, AMSS, the Chinese Academy of Sciences,
P.O. Box 2719, Beijing 100080, China
;3. Research Institute of Information Fusion, Naval Aeronautical Engineering Institute, Yantai 264001, China
;4. Department of Mathematics, Shanghai University, Shanghai 200444, China |
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| Abstract: | Through the Wronskian technique, a simple and direct proof is
presented that the AKNS hierarchy in the bilinear form has
generalized double Wronskian solutions. Moreover, by using a
unified way, soliton solutions, rational solutions, Matveev
solutions and complexitons in double Wronskian form for it are constructed. |
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| Keywords: | AKNS hierarchy Wronskian technique double Wronsikian solutions |
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