| Original Articles |
|
|
|
|
A Unisonant r-Matrix Structure of Integrable Systems and Its Reductions |
| QIAO Zhi-Jun1,2;Walter STRAMPP2 |
| 1Institute of Mathematics, Fudan University, Shanghai 200433
2Fachbereich 17, Mathematik, Universität-GH Kassel, D-34109 Kassel, Germany
|
|
| Cite this article: |
|
QIAO Zhi-Jun, Walter STRAMPP 2000 Chin. Phys. Lett. 17 235-237 |
|
|
|
Abstract A new method is presented to generate finite dimensional integrable systems. Our starting point is a generalized Lax matrix instead of usual Lax pair. Then a unisonant r-matrix structure and a set of generalized Hamiltonian functions are constructed. It can be clearly seen that various constrained integrable flows by nonlinearization method, such as the c-AKNS, c-MKdV, c-Toda, etc., are derived from the reduction of this structure. Furthermore, some new integrable flows are produced.
|
| Keywords:
03.40.Gc
03.40.Kf
47.10.+g
|
|
|
Published: 01 April 2000
|
|
|
|
|
|
|
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
