| Hamiltonian Systems and Darboux Transformation Associated with a 3 × 3 Matrix Spectral Problem |
| |
| 引用本文： | LUO Lin FAN En-Gui. Hamiltonian Systems and Darboux Transformation Associated with a 3 × 3 Matrix Spectral Problem[J]. 理论物理通讯, 2007, 48(2): 05-210 |
| |
| 作者姓名： | LUO Lin FAN En-Gui |
| |
| 作者单位： | [1]Department of Mathematics, Xiaogan University, Xiaogan 432100, China [2]School of Mathematics, Fudan University, Shanghai 200433, China |
| |
| 基金项目： | The project supported by National Natural Science Foundation of China under Grant No. 10371023 and Shanghai Shuguang Project of China under Grant No. 02SG02 |
| |
| 摘 要： | Starting from a 3 × 3 matrix spectral problem, we derive a hierarchy of nonlinear equations. It is shown that the hierarchy possesses bi-Hamiltonian structure. Under the symmetry constraints between the potentials and the eigenfunctions, Lax pair and adjoint Lax pairs including partial part and temporal part are nonlinearied into two finitedimensional Hamiltonian systems （FDHS） in Liouville sense. Moreover, an explicit N-fold Darboux transformation for CDNS equation is constructed with the help of a gauge transformation of the spectral problem.
|
| 关 键 词： | 汉密尔顿函数 对称性 转化方法 非线性方程 |
| 修稿时间： | 2006-12-28 |
Hamiltonian Systems and Darboux Transformation Associated with a 3 × 3 Matrix Spectral Problem |
| |
| Abstract: | |
| |
| Keywords: | nonlinear equations Hamiltonian system symmetry constraint Darboux transformation |
| 本文献已被 维普 等数据库收录！ |
