A Chain of Type Ⅱ and Its Exact Solutions  

作　　者：张宇 周汝光 

机构地区：[1]School of Mathematics and Statistics,Jiangsu Normal University

出　　处：《Chinese Physics Letters》2016年第11期9-12,共4页中国物理快报（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11271168 and 11671177;the Priority Academic Program Development of Jiangsu Higher Education Institutions;the Innovation Project of the Graduate Students in Jiangsu Normal University

摘　　要：The exact solutions of a chain of type Ⅱ are investigated. The chain of type Ⅱ is first transformed to an integrable differential-difference equation, which has the Kaup Newell spectral problem as its continuous spatial spectral problem and a Darboux transformation of the Kaup-Newell equation as its discrete temporal spectral problem. Then, with these spectral problems, a Darboux transformation of the transformed equation is constructed. Finally, as an application of the Darboux transformation, an exact solution of the transformed equation and thus the chain of type Ⅱ are presented.The exact solutions of a chain of type Ⅱ are investigated. The chain of type Ⅱ is first transformed to an integrable differential-difference equation, which has the Kaup Newell spectral problem as its continuous spatial spectral problem and a Darboux transformation of the Kaup-Newell equation as its discrete temporal spectral problem. Then, with these spectral problems, a Darboux transformation of the transformed equation is constructed. Finally, as an application of the Darboux transformation, an exact solution of the transformed equation and thus the chain of type Ⅱ are presented.

关 键 词：of ET for that and Its Exact Solutions A Chain of Type is HAVE 

分 类 号：O175.7[理学—数学]