导数Manakov方程的Darboux变换及其精确解（英文）  

THE DARBOUX TRANSFORMATION OF THE DERIVATIVE MANAKOV EQUATION AND ITS EXPLICIT SOLUTION

作　　者：魏含玉[1,2] 童艳春[1] 徐冉 

机构地区：[1]周口师范学院数学与统计学院,河南周口466001 [2]上海大学数学系,上海200444 [3]郑州市第十一中学,河南郑州450000

出　　处：《数学杂志》2016年第1期6-16,共11页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11271008;61072147);The Science and Technology Department of Henan Province(142300410324;142300410253;152300410230)

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.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.

关 键 词：谱问题 达布变换 达布阵 精确解 

分 类 号：O175.29[理学—数学]