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.
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)
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.
