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.
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
