| 浅析孤立子理论中的达布变换 |
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| 引用本文： | 梁银双.浅析孤立子理论中的达布变换[J].中州大学学报,2012,29(2):126-128. |
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| 作者姓名： | 梁银双 |
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| 作者单位： | 中州大学信息工程学院,郑州,450044 |
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| 摘 要： | 介绍了孤立子理论的发展,及在求解非线性偏微分方程中的达布变换方法,及其该方法的起源和基本思想,并以KdV方程为例来详细说明达布变换方法。
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| 关 键 词： | 孤立子 达布变换 Lax对 KdV方程 |
Analysis of Darboux Transformation in Soliton Theory |
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| LIANG Yin-shuang.Analysis of Darboux Transformation in Soliton Theory[J].Journal of Zhongzhou University,2012,29(2):126-128. |
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| Authors: | LIANG Yin-shuang |
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| Institution: | LIANG Yin-shuang(College of Information Engineering,Zhongzhou University,Zhengzhou 450044,China) |
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| Abstract: | In this paper,soliton theory is introduced and Darboux transformation is applied to solve the non-linear partial differential equations.Then the origin of Darboux transformation and the basic idea of this method are introduced.Finally,taking KdV equation for example,this paper explains Darboux transformation in detail. |
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| Keywords: | Soliton Darboux transformation Lax pair KdV equation |
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