| 导数Manakov方程的Darboux变换及其精确解 |
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| 引用本文： | 魏含玉,童艳春,徐冉. 导数Manakov方程的Darboux变换及其精确解[J]. 数学杂志, 2016, 36(1): 6-16 |
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| 作者姓名： | 魏含玉 童艳春 徐冉 |
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| 作者单位： | 周口师范学院数学与统计学院, 河南 周口 466001;上海大学数学系, 上海 200444,周口师范学院数学与统计学院, 河南 周口 466001,郑州市第十一中学, 河南 郑州 450000 |
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| 基金项目： | Supported by National Natural Science Foundation of China (11271008;61072147);The Science and Technology Department of Henan Province (142300410324;142300410253;152300410230). |
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| 摘 要： | 本文给出了导数Manakov方程新的Darboux变换.利用此Darboux变换得到了导数Manakov方程的精确解.最后,通过选择适当的参数,作出了孤子解的图形.
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| 关 键 词： | 谱问题 达布变换 达布阵 精确解 |
| 收稿时间： | 2014-09-16 |
| 修稿时间： | 2015-02-26 |
THE DARBOUX TRANSFORMATION OF THE DERIVATIVE MANAKOV EQUATION AND ITS EXPLICIT SOLUTION |
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| WEI Han-yu,TONG Yan-chun and XU Ran. THE DARBOUX TRANSFORMATION OF THE DERIVATIVE MANAKOV EQUATION AND ITS EXPLICIT SOLUTION[J]. Journal of Mathematics, 2016, 36(1): 6-16 |
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| Authors: | WEI Han-yu TONG Yan-chun XU Ran |
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| Affiliation: | College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;Department of Mathematics, Shanghai University, Shanghai 200444, China,College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China and No. 11 Middle School of Zhengzhou, Zhengzhou 450000, China |
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| Abstract: | In this paper, we present a new Darboux transformation for the derivative Manakov equation. By applying the Darboux transformation, we obtain new soliton solutions of the derivative Manakov soliton equation. Finally, the figures of the soliton solution are obtained by choosing the suitable parameters. |
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| Keywords: | spectral problem Darboux transformation Darboux matrix explicit solution |
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