| 超Dirac方程的达布变换及其精确解 |
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| 作者单位： | ;1.沈阳师范大学数学与系统科学学院 |
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| 摘 要： | 达布变换目前是求解孤子方程解的一种有效方法.人们基本都是围绕着一般方程族进行研究,而对超可积方程的达布工作讨论的还比较少.针对超Dirac方程的等谱问题,构建超Dirac方程的达布变换.最后应用达布变换,获得超Dirac方程的精确解.
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| 关 键 词： | 达布变换 超Dirac方程 精确解 |
Darboux Transformation for Super-Dirac Hierarchy and its Exact Solution |
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| Institution: | ,School of Mathematics and Systematic Sciences,Shenyang Normal University |
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| Abstract: | Darboux transformation is an effective method of solving soliton equations. Because most of works focus on the Lax pairs of the general hierarchy,there is less work to search for Darboux transformation for the super-Dirac hierarchy. Starting from super-Dirac hierarchy spectral problem,a Darboux transformation( DT)method for super-integrable hierarchy is constructed. Solutions of super-Dirac hierarchy are given by using the Darboux transformation,and its exact solution is obtained. |
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| Keywords: | Darboux transformation super-Dirac hierarchy exact solution |
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