| 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. |
| 关键词: 谱问题 达布变换 达布阵 精确解 |
| DOI： |
| 分类号:O175.29 |
| 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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| THE DARBOUX TRANSFORMATION OF THE DERIVATIVE MANAKOV EQUATION AND ITS EXPLICIT SOLUTION |
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WEI Han-yu1,2, TONG Yan-chun1, XU Ran3
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1.College of Mathematics and Statistics, Zhoukou Normal University, Zhoukou 466001, China;2.Department of Mathematics, Shanghai University, Shanghai 200444, China;3.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. |
| Key words: spectral problem Darboux transformation Darboux matrix explicit solution |
