A Unisonant r-Matrix Structure of Integrable Systems and Its Reductions

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2000,（4）
• 所属期刊栏目: General
• 页码范围: 235-237
• 页数: 3页
• 语种: 英文

摘要

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