| Darboux Transformation and Explicit Solutions for Drinfel＇d-Sokolov-Wilson Equation |
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| 引用本文： | 耿献国,吴丽华.Darboux Transformation and Explicit Solutions for Drinfel＇d-Sokolov-Wilson Equation[J].理论物理通讯,2010,53(6):1090-1096. |
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| 作者姓名： | 耿献国 吴丽华 |
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| 基金项目： | Supported by National Natural Science Foundation of China under Grant No. 10871182 and Innovation Scientists and Technicians Troop Construction Projects of Henan Province |
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| 摘 要： | A generalized Drinfel＇d Sokolov-Wilson （DSW） equation and its Lax pair are proposed. A Daorboux transformation for the generalized DSW equation is constructed with the help of the gauge transformation between spectral problems, from which a Darboux transformation for the DSW equation is obtained through a reduction technique. As an application of the Darboux transformations, we give some explicit solutions of the generalized DSW equation and DEW equation such as rational solutions, soliton solutions, periodic solutions.
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| 关 键 词： | 达布变换 威尔逊 方程 索科 精确解 社会福利 Lax对 规范变换 |
Darboux Transformation and Explicit Solutions for Drinfel'd-Sokolov-Wilson Equation |
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| GENG Xian-Guo and WU Li-Hua.Darboux Transformation and Explicit Solutions for Drinfel'd-Sokolov-Wilson Equation[J].Communications in Theoretical Physics,2010,53(6):1090-1096. |
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| Authors: | GENG Xian-Guo and WU Li-Hua |
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| Institution: | Department of Mathematics, Zhengzhou University, Zhengzhou 450001, China |
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| Abstract: | A generalized Drinfel'd-Sokolov-Wilson (DSW) equation and its Lax pair are proposed. A Darboux transformation for the generalized DSW equation is constructed with the help of the gauge transformation between spectral problems, from which a Darboux transformation for the DSW equation is obtained through a reduction technique. As an application of the Darboux transformations, we give some explicit solutions of the generalized DSW equation and DSW equation such as rational solutions, soliton solutions, periodic solutions. |
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| Keywords: | Drinfel＇d-Sokolov-Wilson equation Darboux transformation explicit solutions |
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