| MKdV方程和SG方程的可积曲面的构造 |
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| 引用本文： | 张玲,丁楠.MKdV方程和SG方程的可积曲面的构造[J].浙江大学学报(理学版),2010,37(4):381-387. |
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| 作者姓名： | 张玲 丁楠 |
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| 作者单位： | 滁州学院,数学研究所,安徽,滁州,239012 |
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| 基金项目： | Supported by the Natural Science Foundation of Anhui Province （KJ2007B024 KJ2008B012）; supported by Young College teacher Foundation of Anhui Province（J91113） |
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| 摘 要： | 给出Modified Korteweg-de Vries方程(MKdV)and Sine-Gordon(SG)方程n重达布交换后的孤子解和孤子曲面的表达式.进一步,分析了孤子曲线和曲面在达布变换下的性质和变化规律.
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| 关 键 词： | 达布变换 MKdV方程 SG方程 孤子曲面 |
Conformation of soliton surfaces of MKdV equation and SG equation |
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| ZHANG Ling,DING Nan.Conformation of soliton surfaces of MKdV equation and SG equation[J].Journal of Zhejiang University(Sciences Edition),2010,37(4):381-387. |
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| Authors: | ZHANG Ling DING Nan |
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| Institution: | (Institute of Mathematics,Chuzhou University,Chuzhou 239012,Anhui Province,China) |
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| Abstract: | The soliton solutions and the soliton surfaces of Modified Korteweg-de Vries equation (MKdV) and Sine-Gordon (SG) equation by the n-fold Darboux transformation are given out. Furthermore, the properities and changes of soliton surfaces and curves by the n-fold Darboux transformations are analyzed. |
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| Keywords: | Darboux transformation MKdV equation SG equation soliton surfaces |
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