Integrable Couplings of the Generalized AKNS Hierarchy with an Arbitrary Function and Its Bi-Hamiltonian Structure |
| |
| Authors: | Email author" target="_blank">Fucai?YouEmail author Tiecheng?Xia |
| |
| Institution: | (1) Department of Mathematics, Shanghai University, Shanghai, 200444, China;(2) Department of Mathematics, Tianjin University, Tianjin, 300072, China |
| |
| Abstract: | We construct a new loop algebra \(\widetilde{A_{3}}\), which is used to set up an isospectral problem. Then a new integrable couplings of the generalized AKNS hierarchy is derived, which possesses bi-Hamiltonian structure and contains an arbitrary spatial function. As its reduction, we gain the integrable couplings of the Schrödinger equation. Furthermore, many conserved quantities of the integrable couplings are obtained. |
| |
| Keywords: | Loop algebra Integrable couplings Hamiltonian structure |
| 本文献已被 SpringerLink 等数据库收录！ |
|
