浅析孤立子理论中的达布变换  

Analysis of Darboux Transformation in Soliton Theory

作　　者：梁银双[1] 

机构地区：[1]中州大学信息工程学院,郑州450044

出　　处：《中州大学学报》2012年第2期126-128,共3页Journal of Zhongzhou University

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。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 basie idea of this method are introduced. Finally, taking KdV equation for example, this paper explains Darboux transformation in detail.

关 键 词：孤立子 达布变换 LAX对 KDV方程 

分 类 号：O175.3[理学—数学]