| Two Hierarchies of New Differential-Difference Equations Related to the Darboux Transformations of the Kaup–Newell Hierarchy |
| |
| 基金项目： | Supported by National Natural Science Foundation of China under Grant No. 11271168, by the Priority Academic Program Development of Jiangsu Higher Education Institutions and by Innovation Project of the Graduate Students in Jiangsu Normal University |
| |
| 摘 要： | Two hierarchies of new nonlinear differential-difference equations with one continuous variable and one discrete variable are constructed from the Darboux transformations of the Kaup–Newell hierarchy of equations. Their integrable properties such as recursion operator, zero-curvature representations, and bi-Hamiltonian structures are studied. In addition, the hierarchy of equations obtained by Wu and Geng is identified with the hierarchy of two-component modified Volterra lattice equations.
|
| 收稿时间： | 2014-08-04 |
Two Hierarchies of New Differential-Difference Equations Related to the Darboux Transformations of the Kaup-Newell Hierarchy |
| |
| Authors: | ZHOU Ru-Guang CHEN Jie |
| |
| Institution: | School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou 221116, China |
| |
| Abstract: | Two hierarchies of new nonlinear differential-difference equations with one continuous variable and one discrete variable are constructed from the Darboux transformations of the Kaup-Newell hierarchy of equations. Their integrable properties such as recursion operator, zero-curvature representations, and bi-Hamiltonian structures are studied. In addition, the hierarchy of equations obtained by Wu and Geng is identified with the hierarchy of two-component modified Volterra lattice equations. |
| |
| Keywords: | Darboux transformation Kaup-Newell hierarchy of equations modified Volterra lattice two-component modified Volterra lattice zero-curvature representation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《理论物理通讯》浏览原始摘要信息 |
| 点击此处可从《理论物理通讯》下载免费的PDF全文 |
