A Unisonant r-Matrix Structure of Integrable Systems and Its Reductions
QIAO Zhi-Jun1,2 , Walter STRAMPP2
1 Institute of Mathematics, Fudan University, Shanghai 200433
2 Fachbereich 17, Mathematik, Universität-GH Kassel, D-34109 Kassel, Germany
A Unisonant r-Matrix Structure of Integrable Systems and Its Reductions
QIAO Zhi-Jun1,2 ;Walter STRAMPP2
1 Institute of Mathematics, Fudan University, Shanghai 200433
2 Fachbereich 17, Mathematik, Universität-GH Kassel, D-34109 Kassel, Germany
关键词 ：
03.40.Gc ,
03.40.Kf ,
47.10.+g
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.
Key words ：
03.40.Gc
03.40.Kf
47.10.+g
出版日期: 2000-04-01
引用本文:
QIAO Zhi-Jun;Walter STRAMPP. A Unisonant r-Matrix Structure of Integrable Systems and Its Reductions[J]. 中国物理快报, 2000, 17(4): 235-237.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2000/V17/I4/235
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