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

作　　者：QIAO Zhi-Jun Walter STRAMPP 乔志军;Walter STRAMPP(Institute of Mathematics,Fudan University,Shanghai 200433;Fachbereich 17,Mathematikj Universitat-GH Kassel,D-34109 Kassel,Germany)

机构地区：[1]Institute of Mathematics,Fudan University,Shanghai 200433 [2]Fachbereich 17,Mathematikj Universitat-GH Kassel,D-34109 Kassel,Germany

出　　处：《Chinese Physics Letters》2000年第4期235-237,共3页中国物理快报（英文版）

基　　金：Supported by the Alexander von Humbold t Foundation,Germany;the Chinese National Basic Reseach Projec t“Nonlinear Science”,Special Grant of Excellent Ph.D.Thesis and Doctoral Programme Foundation of the Institution of High Education of China,the Science&Technology Foundation(Youth Talent Foundation)and the Science Research Foundation of Education Committee of Liaoning Province of China;The author would like to express his sincere thanks to Professor Strampp Walter for his warm invitation and hospitality.

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 Hows 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 Hows are produced.

关 键 词：STRUCTURE INTEGRABLE MATRIX 

分 类 号：O17[理学—数学]