数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURNAL OF MATHEMATICS
2008年
3期
415-422
,共8页
KN hierarchy%integrable couplings%quadratic-form identity%Hamiltonian structure
Firstly,a vector loop algebra (~G)3 is constructed,by use of it multi-component KN hierarchy is obtained.Further,by taking advantage of the extending vector loop algebras (~G)6 and (~G)9 of (~G)3 the double integrable couplings of the multi-component KN hierarchy are worked out respectively.Finally,Hamiltonian structures of obtained system are given by quadratic-form identity.